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## trenMonge Hypersurfaces in Euclidean 4-Space with DensityMonge 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 Engineering Research Article Orcid: 0000-0001-5544-5910Author: Mustafa Altın (Primary Author)Institution: BİNGÖL TECHNICAL SCIENCES VOCATIONAL SCHOOLCountry: Turkey Orcid: 0000-0002-1959-6102Author: Ahmet KAZAN Institution: MALATYA TURGUT ÖZAL ÜNİVERSİTESİCountry: Turkey Orcid: 0000-0001-6474-877XAuthor: H.bayram KARADAĞ Institution: İNÖNÜ ÜNİVERSİTESİCountry: Turkey 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 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.

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