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            <front>

                <journal-meta>
                                                                <journal-id>jum</journal-id>
            <journal-title-group>
                                                                                    <journal-title>Journal of Universal Mathematics</journal-title>
            </journal-title-group>
                            <issn pub-type="ppub">2618-5660</issn>
                                        <issn pub-type="epub">2618-5660</issn>
                                                                                            <publisher>
                    <publisher-name>Gökhan ÇUVALCIOĞLU</publisher-name>
                </publisher>
                    </journal-meta>
                <article-meta>
                                        <article-id pub-id-type="doi">10.33773/jum.1799886</article-id>
                                                                <article-categories>
                                            <subj-group  xml:lang="en">
                                                            <subject>Algebraic and Differential Geometry</subject>
                                                    </subj-group>
                                            <subj-group  xml:lang="tr">
                                                            <subject>Cebirsel ve Diferansiyel Geometri</subject>
                                                    </subj-group>
                                    </article-categories>
                                                                                                                                                        <title-group>
                                                                                                                        <article-title>Semi-Invariant Submanifolds of a Trans Sasakian Manifold with Ricci Soliton</article-title>
                                                                                                                                                                                                <trans-title-group xml:lang="tr">
                                    <trans-title>Ricci solitonlu Trans Sasakian Manifoldun Semi-İnvaryant Altmanifoldları</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/0000-0002-4618-8243</contrib-id>
                                                                <name>
                                    <surname>Sarı</surname>
                                    <given-names>Ramazan</given-names>
                                </name>
                                                                    <aff>AMASYA ÜNİVERSİTESİ</aff>
                                                            </contrib>
                                                    <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0001-9093-1607</contrib-id>
                                                                <name>
                                    <surname>Dirik</surname>
                                    <given-names>Süleyman</given-names>
                                </name>
                                                                    <aff>AMASYA UNIVERSITY</aff>
                                                            </contrib>
                                                                                </contrib-group>
                        
                                        <pub-date pub-type="pub" iso-8601-date="20251019">
                    <day>10</day>
                    <month>19</month>
                    <year>2025</year>
                </pub-date>
                                        <volume>8</volume>
                                        <issue>2</issue>
                                        <fpage>140</fpage>
                                        <lpage>149</lpage>
                        
                        <history>
                                    <date date-type="received" iso-8601-date="20251008">
                        <day>10</day>
                        <month>08</month>
                        <year>2025</year>
                    </date>
                                                    <date date-type="accepted" iso-8601-date="20251013">
                        <day>10</day>
                        <month>13</month>
                        <year>2025</year>
                    </date>
                            </history>
                                        <permissions>
                    <copyright-statement>Copyright © 2018, Journal of Universal Mathematics</copyright-statement>
                    <copyright-year>2018</copyright-year>
                    <copyright-holder>Journal of Universal Mathematics</copyright-holder>
                </permissions>
            
                                                                                                <abstract><p>In this paper, we investigate Ricci solitions on semi-invariant submanifolds of trans Sasakian manifold. We obtain the conditions for the soliton to be steady, shrinking and expanding. We give an example for semi-invariant submanifolds of trans Sasakian manifold with ricci soliton.</p></abstract>
                                                                                                                                    <trans-abstract xml:lang="tr">
                            <p>Bu makalede, trans Sasakian manifoldunun sem-invaryant alt manifoldları üzerinde Ricci solitonu araştırıyoruz. Solitonun sabit, küçülme ve genişleme koşullarını elde ediyoruz. Ricci solitonu olan trans Sasakian manifoldunun semi-invaryant alt manifoldları için bir örnek veriyoruz.</p></trans-abstract>
                                                            
            
                                                            <kwd-group>
                                                    <kwd>Ricci soliton</kwd>
                                                    <kwd>  semi-invariant submanifolds</kwd>
                                                    <kwd>  trans Sasakian manifold</kwd>
                                                    <kwd>  Einstein manifold</kwd>
                                            </kwd-group>
                                                        
                                                                            <kwd-group xml:lang="tr">
                                                    <kwd>Ricci soliton</kwd>
                                                    <kwd>  semi-invaryant altmanifoldlar</kwd>
                                                    <kwd>  trans Sasakian manifold</kwd>
                                                    <kwd>  Einstein manifold</kwd>
                                            </kwd-group>
                                                                                                            </article-meta>
    </front>
    <back>
                            <ref-list>
                                    <ref id="ref1">
                        <label>1</label>
                        <mixed-citation publication-type="journal">Chen, B. Y., &amp; Deshmukh, S. (2014). Classification of Ricci solitons on Euclidean hypersurfaces. International
Journal of Mathematics, 25 (11), 1450104.</mixed-citation>
                    </ref>
                                    <ref id="ref2">
                        <label>2</label>
                        <mixed-citation publication-type="journal">Chen, B. Y., &amp; Deshmukh, S. (2014). Geometry of compact shrinking Ricci solitons. Balkan Journal of
Geometry and Its Applications, 19, 13–21.</mixed-citation>
                    </ref>
                                    <ref id="ref3">
                        <label>3</label>
                        <mixed-citation publication-type="journal">Deshmukh, S., Al-Sodais, H., &amp; Alodan, H. (2011). A note on Ricci solitons. Balkan Journal of Geometry
and Its Applications, 16, 48–55.</mixed-citation>
                    </ref>
                                    <ref id="ref4">
                        <label>4</label>
                        <mixed-citation publication-type="journal">Gherghe, C. (2000). Harmonicity on nearly trans-Sasaki manifolds. Demonstratio Mathematica, 33, 151–
157.</mixed-citation>
                    </ref>
                                    <ref id="ref5">
                        <label>5</label>
                        <mixed-citation publication-type="journal">Gray, A., &amp; Hervella, L. M. (1980). The sixteen classes of almost Hermitian manifolds and their linear
invariants. Annali di Matematica Pura ed Applicata, 123 (4), 35–58.</mixed-citation>
                    </ref>
                                    <ref id="ref6">
                        <label>6</label>
                        <mixed-citation publication-type="journal">Hamilton, R. S. (1988). The Ricci flow on surfaces. Mathematics and General Relativity (Contemporary
Mathematics, 71), 237–262.</mixed-citation>
                    </ref>
                                    <ref id="ref7">
                        <label>7</label>
                        <mixed-citation publication-type="journal">Hui, S. K., Lemence, R. S., &amp; Chakraborty, D. (2015). Ricci solitons on three dimensional generalized
Sasakian space-forms. Tensor (N. S.), 76, 75–83.</mixed-citation>
                    </ref>
                                    <ref id="ref8">
                        <label>8</label>
                        <mixed-citation publication-type="journal">Ingalahalli, G., &amp; Bagewadi, C. (2012). Ricci solitons in α-Sasakian manifolds. ISRN Geometry, 1–13.</mixed-citation>
                    </ref>
                                    <ref id="ref9">
                        <label>9</label>
                        <mixed-citation publication-type="journal">Marrero, J. C. (1992). The local structure of trans-Sasakian manifolds. Annali di Matematica Pura ed
Applicata, 162 (4), 77–86.</mixed-citation>
                    </ref>
                                    <ref id="ref10">
                        <label>10</label>
                        <mixed-citation publication-type="journal">Morgan, J. W., &amp; Tian, G. (2007). Ricci flow and the Poincaré conjecture. American Mathematical
Society.</mixed-citation>
                    </ref>
                                    <ref id="ref11">
                        <label>11</label>
                        <mixed-citation publication-type="journal">Nagaraja, H. G., &amp; Premalatta, C. R. (2012). Ricci solitons in Kenmotsu manifolds. Journal of Mathematical
Analysis, 3 (2), 18–24.</mixed-citation>
                    </ref>
                                    <ref id="ref12">
                        <label>12</label>
                        <mixed-citation publication-type="journal">Oubina, J. A. (1985). New classes of almost contact metric structures. Publicationes Mathematicae
Debrecen, 32, 187–193. (Not: Sayfa aralığı 197-193, 187-193 olarak düzeltildi.)</mixed-citation>
                    </ref>
                                    <ref id="ref13">
                        <label>13</label>
                        <mixed-citation publication-type="journal">Turgut Vanlı, A., &amp; Sarı, R. (2010). On invariant submanifolds of trans-Sasakian manifolds. Differential Geometry -Dynamical Systems, 12, 277–288.</mixed-citation>
                    </ref>
                            </ref-list>
                    </back>
    </article>
