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            <front>

                <journal-meta>
                                    <journal-id></journal-id>
            <journal-title-group>
                                                                                    <journal-title>Bitlis Eren Üniversitesi Fen Bilimleri Dergisi</journal-title>
            </journal-title-group>
                            <issn pub-type="ppub">2147-3129</issn>
                                        <issn pub-type="epub">2147-3188</issn>
                                                                                            <publisher>
                    <publisher-name>Bitlis Eren University</publisher-name>
                </publisher>
                    </journal-meta>
                <article-meta>
                                        <article-id pub-id-type="doi">10.17798/bitlisfen.1057385</article-id>
                                                                                                                                                                                            <title-group>
                                                                                                                        <article-title>The Physical Concepts on Special Tube Surfaces Generated by Normal Curves in Galilean 3-Space</article-title>
                                                                                                                                                                                                <trans-title-group xml:lang="tr">
                                    <trans-title>The Physical Concepts on Special Tube Surfaces Generated by Normal  Curves in Galilean 3-Space</trans-title>
                                </trans-title-group>
                                                                                                    </title-group>
            
                                                    <contrib-group content-type="authors">
                                                                        <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0002-1060-7813</contrib-id>
                                                                <name>
                                    <surname>Almaz</surname>
                                    <given-names>Fatma</given-names>
                                </name>
                                                            </contrib>
                                                    <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0002-8621-5779</contrib-id>
                                                                <name>
                                    <surname>Alyamac Kulahci</surname>
                                    <given-names>Mihriban</given-names>
                                </name>
                                                                    <aff>FIRAT ÜNİVERSİTESİ</aff>
                                                            </contrib>
                                                                                </contrib-group>
                        
                                        <pub-date pub-type="pub" iso-8601-date="20230322">
                    <day>03</day>
                    <month>22</month>
                    <year>2023</year>
                </pub-date>
                                        <volume>12</volume>
                                        <issue>1</issue>
                                        <fpage>1</fpage>
                                        <lpage>9</lpage>
                        
                        <history>
                                    <date date-type="received" iso-8601-date="20220113">
                        <day>01</day>
                        <month>13</month>
                        <year>2022</year>
                    </date>
                                                    <date date-type="accepted" iso-8601-date="20230117">
                        <day>01</day>
                        <month>17</month>
                        <year>2023</year>
                    </date>
                            </history>
                                        <permissions>
                    <copyright-statement>Copyright © 2012, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi</copyright-statement>
                    <copyright-year>2012</copyright-year>
                    <copyright-holder>Bitlis Eren Üniversitesi Fen Bilimleri Dergisi</copyright-holder>
                </permissions>
            
                                                                                                <abstract><p>In this study, we examine the tube surfaces formed by normal curves in Galilean 3-space, and we give Clairaut’s theorem on the tube surfaces using geodesic normal curves. Also, we attempted to explain why the specific kinetic energy and angular momentum of particles may be on tube surfaces</p></abstract>
                                                                                                                                    <trans-abstract xml:lang="tr">
                            <p>In this paper, we examine the tube surfaces generated by normal curves in Galilean 3-space and we give the Clairaut’s theorem on the specific tube surfaces using geodesic normal curves. Moreover, we express the specific kinetic energy and the specific angular momentum on special tube surfaces</p></trans-abstract>
                                                            
            
                                                            <kwd-group>
                                                    <kwd>Galilean space</kwd>
                                                    <kwd>  tube surfaces</kwd>
                                                    <kwd>  Clairaut’s theorem</kwd>
                                                    <kwd>  normal curves</kwd>
                                                    <kwd>  the specific kinetic energy</kwd>
                                                    <kwd>  the specific angular momentum.</kwd>
                                            </kwd-group>
                                                        
                                                                            <kwd-group xml:lang="tr">
                                                    <kwd>Galilean space</kwd>
                                                    <kwd>  tubular surfaces</kwd>
                                                    <kwd>  Clairaut’s theorem</kwd>
                                                    <kwd>  normal curves</kwd>
                                                    <kwd>  the specific kinetic energy</kwd>
                                                    <kwd>  the 
specific angular momentum.</kwd>
                                            </kwd-group>
                                                                                                            </article-meta>
    </front>
    <back>
                            <ref-list>
                                    <ref id="ref1">
                        <label>1</label>
                        <mixed-citation publication-type="journal">[1] F. Almaz and M.A. Külahcı, The notes on rotational surfaces in Galilean space, International Journal of Geometric Methods in Modern Phys. 18(2), 2021.</mixed-citation>
                    </ref>
                                    <ref id="ref2">
                        <label>2</label>
                        <mixed-citation publication-type="journal">[2] F. Almaz and M.A. Külahcı, A survey on tube surfaces in Galilean 3-space, Journal of Polytechnic, 2021, https://doi.org/10.2339/politeknik.747869</mixed-citation>
                    </ref>
                                    <ref id="ref3">
                        <label>3</label>
                        <mixed-citation publication-type="journal">[3] F. Almaz and M.A. Külahcı, Some characterizations on the special tubular surfaces in Galilean space, Prespacetime J. 11(7), 2020.</mixed-citation>
                    </ref>
                                    <ref id="ref4">
                        <label>4</label>
                        <mixed-citation publication-type="journal">[4] F. Almaz and M.A. Külahcı, A different interpretation on magnetic surfaces generated by special the magnetic curve in 𝑄2 ⊂ 𝐸13, Adiyaman University Journal of Sci. 10(12), 2020.</mixed-citation>
                    </ref>
                                    <ref id="ref5">
                        <label>5</label>
                        <mixed-citation publication-type="journal">[5] F. Almaz and M.A. Külahcı, The geodesics on special tubular surfaces generated by Darboux frame in 𝐺3, 18th International Geometry Symposium, 2021.</mixed-citation>
                    </ref>
                                    <ref id="ref6">
                        <label>6</label>
                        <mixed-citation publication-type="journal">[6] A.T. Ali, Position vectors of curves in the Galilean space 𝐺3, Matematicki Vesnik. 64(3), 200-210, 2012.</mixed-citation>
                    </ref>
                                    <ref id="ref7">
                        <label>7</label>
                        <mixed-citation publication-type="journal">[7] A.V. Aminova, Pseudo-Riemannian manifolds with common geodesics, Uspekhi Mat. Nauk. 48, 107-16, 1993.</mixed-citation>
                    </ref>
                                    <ref id="ref8">
                        <label>8</label>
                        <mixed-citation publication-type="journal">[8] M. Dede, Tubular surfaces in Galilean space, Math. Commun. 18, 209-217, 2013</mixed-citation>
                    </ref>
                                    <ref id="ref9">
                        <label>9</label>
                        <mixed-citation publication-type="journal">[9] E. Kasap and F.T. Akyildiz, Surfaces with a Common Geodesic in Minkowski 3 −space, App. Math. and Comp. 177, 260-270, 2006.</mixed-citation>
                    </ref>
                                    <ref id="ref10">
                        <label>10</label>
                        <mixed-citation publication-type="journal">[10] M. K. Karacan and Y. Yayli, On the geodesics of tubular surfaces in Minkowski 3 −Space, Bull. Malays. Math. Sci. Soc., 31, 1-10, 2008.</mixed-citation>
                    </ref>
                                    <ref id="ref11">
                        <label>11</label>
                        <mixed-citation publication-type="journal">[11] W. Kuhnel, Differential Geometry Curves-Surfaces and Manifolds, Second Edition, Providence, RI, United States, American Math. Soc., 2005.</mixed-citation>
                    </ref>
                                    <ref id="ref12">
                        <label>12</label>
                        <mixed-citation publication-type="journal">[12] D. Lerner, Lie Derivatives, Isometries, and Killing Vectors, Department of Mathematics, University of Kansas, Lawrence, Kansas 66045-7594, 2010.</mixed-citation>
                    </ref>
                                    <ref id="ref13">
                        <label>13</label>
                        <mixed-citation publication-type="journal">[13] Z. Milin-Šipuš and B. Divjak, Surfaces of constant curvature in the pseudo-Galilean space, Int. J. Math. Math. Sci. 2012, Art. ID 375264.</mixed-citation>
                    </ref>
                                    <ref id="ref14">
                        <label>14</label>
                        <mixed-citation publication-type="journal">[14] J. W. Norbury, General Relativity &amp; Cosmology for Undergraduates, Physics Department University of Wisconsin-Milwaukee P.O. Box 413 Milwaukee, WI 53201, 1997.</mixed-citation>
                    </ref>
                                    <ref id="ref15">
                        <label>15</label>
                        <mixed-citation publication-type="journal">[15] H.B. Öztekin and S. Tatlipinar, On some curves in the Galilean plane and 3-dimensional Galilean space, J. Dyn. Syst. Geom. Theor. 10(2), 189-196, 2012.</mixed-citation>
                    </ref>
                                    <ref id="ref16">
                        <label>16</label>
                        <mixed-citation publication-type="journal">[16] A. Pressley, Elementary Differential Geometry, Second Edition. London, UK. Springer-Verlag  London Limited, 2010.</mixed-citation>
                    </ref>
                                    <ref id="ref17">
                        <label>17</label>
                        <mixed-citation publication-type="journal">[17] O. Röschel, Die Geometrie des Galileischen Raumes, Forschungszentrum Graz ResearchCentre, Austria, 1986.</mixed-citation>
                    </ref>
                                    <ref id="ref18">
                        <label>18</label>
                        <mixed-citation publication-type="journal">[18] O. Röschel, Die Geometrie des Galileischen Raumes, Bericht der Mathematisch Statistischen Sektion in der Forschungs-Gesellschaft Joanneum, Bericht Nr. 256, Habilitationsschrift, Leoben, 1984.</mixed-citation>
                    </ref>
                                    <ref id="ref19">
                        <label>19</label>
                        <mixed-citation publication-type="journal">[19] A. Saad and R.J. Low, A generalized Clairaut’s theorem in Minkowski space, J. Geometry and  Symmetry in Phys. 35, 103-111, 2014.</mixed-citation>
                    </ref>
                                    <ref id="ref20">
                        <label>20</label>
                        <mixed-citation publication-type="journal">[20] J.D. Walecka, Introduction to General Relativity, World Scientific, Singapore, 2007.</mixed-citation>
                    </ref>
                                    <ref id="ref21">
                        <label>21</label>
                        <mixed-citation publication-type="journal">[21] J.D. Walecka, Topics in Modern Physics: Theoretical Foundations, World Scientific, 2013.</mixed-citation>
                    </ref>
                                    <ref id="ref22">
                        <label>22</label>
                        <mixed-citation publication-type="journal">[22] D.W. Yoon, Surfaces of Revolution in the three Dimensional Pseudo-Galilean Space, Glasnik  Math. 48(68), 415-428, 2013.</mixed-citation>
                    </ref>
                            </ref-list>
                    </back>
    </article>
