Year 2020, Volume 23 , Issue 1, Pages 207 - 214 2020-03-01

Monge Hypersurfaces in Euclidean 4-Space with Density
Monge Hypersurfaces in Euclidean 4-Space with Density

Mustafa Altın [1] , Ahmet KAZAN [2] , H.bayram KARADAĞ [3]


In the present study, firstly we give the mean and Gaussian curvatures of a Monge hypersurface in 4-dimensional Euclidean space. After this, we study on Monge hypersurfaces in  with different densities. In this context, we obtain the weighted minimal and weighted flat Monge hypersurfaces in  with densities  (linear density) and  with the aid of different choices of constants  and , where  and  are not all zero constants. 

In the present study, firstly we give the mean and Gaussian curvatures of a Monge hypersurface in 4-dimensional Euclidean space. After this, we study on Monge hypersurfaces in  with different densities. In this context, we obtain the weighted minimal and weighted flat Monge hypersurfaces in  with densities  (linear density) and  with the aid of different choices of constants  and , where  and  are not all zero constants. 

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Primary Language en
Subjects Engineering
Journal Section Research Article
Authors

Orcid: 0000-0001-5544-5910
Author: Mustafa Altın (Primary Author)
Institution: BİNGÖL TECHNICAL SCIENCES VOCATIONAL SCHOOL
Country: Turkey


Orcid: 0000-0002-1959-6102
Author: Ahmet KAZAN
Institution: MALATYA TURGUT ÖZAL ÜNİVERSİTESİ
Country: Turkey


Orcid: 0000-0001-6474-877X
Author: H.bayram KARADAĞ
Institution: İNÖNÜ ÜNİVERSİTESİ
Country: Turkey


Dates

Publication Date : March 1, 2020

Bibtex @research article { politeknik634175, journal = {Politeknik Dergisi}, issn = {}, eissn = {2147-9429}, address = {Gazi Üniversitesi Teknoloji Fakültesi 06500 Teknikokullar - ANKARA}, publisher = {Gazi University}, year = {2020}, volume = {23}, pages = {207 - 214}, doi = {10.2339/politeknik.634175}, title = {Monge Hypersurfaces in Euclidean 4-Space with Density}, key = {cite}, author = {Altın, Mustafa and KAZAN, Ahmet and KARADAĞ, H.bayram} }
APA Altın, M , KAZAN, A , KARADAĞ, H . (2020). Monge Hypersurfaces in Euclidean 4-Space with Density. Politeknik Dergisi , 23 (1) , 207-214 . DOI: 10.2339/politeknik.634175
MLA Altın, M , KAZAN, A , KARADAĞ, H . "Monge Hypersurfaces in Euclidean 4-Space with Density". Politeknik Dergisi 23 (2020 ): 207-214 <https://dergipark.org.tr/en/pub/politeknik/issue/51707/634175>
Chicago Altın, M , KAZAN, A , KARADAĞ, H . "Monge Hypersurfaces in Euclidean 4-Space with Density". Politeknik Dergisi 23 (2020 ): 207-214
RIS TY - JOUR T1 - Monge Hypersurfaces in Euclidean 4-Space with Density AU - Mustafa Altın , Ahmet KAZAN , H.bayram KARADAĞ Y1 - 2020 PY - 2020 N1 - doi: 10.2339/politeknik.634175 DO - 10.2339/politeknik.634175 T2 - Politeknik Dergisi JF - Journal JO - JOR SP - 207 EP - 214 VL - 23 IS - 1 SN - -2147-9429 M3 - doi: 10.2339/politeknik.634175 UR - https://doi.org/10.2339/politeknik.634175 Y2 - 2019 ER -
EndNote %0 Politeknik Dergisi Monge Hypersurfaces in Euclidean 4-Space with Density %A Mustafa Altın , Ahmet KAZAN , H.bayram KARADAĞ %T Monge Hypersurfaces in Euclidean 4-Space with Density %D 2020 %J Politeknik Dergisi %P -2147-9429 %V 23 %N 1 %R doi: 10.2339/politeknik.634175 %U 10.2339/politeknik.634175
ISNAD Altın, Mustafa , KAZAN, Ahmet , KARADAĞ, H.bayram . "Monge Hypersurfaces in Euclidean 4-Space with Density". Politeknik Dergisi 23 / 1 (March 2020): 207-214 . https://doi.org/10.2339/politeknik.634175
AMA Altın M , KAZAN A , KARADAĞ H . Monge Hypersurfaces in Euclidean 4-Space with Density. Politeknik Dergisi. 2020; 23(1): 207-214.
Vancouver Altın M , KAZAN A , KARADAĞ H . Monge Hypersurfaces in Euclidean 4-Space with Density. Politeknik Dergisi. 2020; 23(1): 214-207.