Rotational Hypersurfaces in Euclidean 4-Space with Density

In this paper, the Euclidean 4-space with a positive density function e^(x^2+y^2+z^2+t^2 ) is studied. Firstly, the weighted mean and weighted Gaussian curvature functions of a rotational hypersurface in 4-dimensional Euclidean space with density are obtained. The rotational hypersurfaces are constructed by solving these obtained functions which are second-order non-linear ordinary differential equations. Besides, the examples of rotational hypersurfaces are given with the aid of the weighted Gaussian and weighted mean curvatures in E^4 with density.

Rotational Hypersurfaces in Euclidean 4-Space with Density

In this paper, the Euclidean 4-space with a positive density function e^(x^2+y^2+z^2+t^2 ) is studied. Firstly, the weighted mean and weighted Gaussian curvature functions of a rotational hypersurface in 4-dimensional Euclidean space with density are obtained. The rotational hypersurfaces are constructed by solving these obtained functions which are second-order non-linear ordinary differential equations. Besides, the examples of rotational hypersurfaces are given with the aid of the weighted Gaussian and weighted mean curvatures in E^4 with density.

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Bibtex @araştırma makalesi { politeknik740513, journal = {Politeknik Dergisi}, eissn = {2147-9429}, address = {Gazi Üniversitesi Teknoloji Fakültesi 06500 Teknikokullar - ANKARA}, publisher = {Gazi Üniversitesi}, year = {2022}, volume = {25}, number = {1}, pages = {107 - 114}, doi = {10.2339/politeknik.740513}, title = {Rotational Hypersurfaces in Euclidean 4-Space with Density}, key = {cite}, author = {Altın, Mustafa} }
APA Altın, M. (2022). Rotational Hypersurfaces in Euclidean 4-Space with Density . Politeknik Dergisi , 25 (1) , 107-114 . DOI: 10.2339/politeknik.740513
MLA Altın, M. "Rotational Hypersurfaces in Euclidean 4-Space with Density" . Politeknik Dergisi 25 (2022 ): 107-114 <
Chicago Altın, M. "Rotational Hypersurfaces in Euclidean 4-Space with Density". Politeknik Dergisi 25 (2022 ): 107-114
RIS TY - JOUR T1 - Rotational Hypersurfaces in Euclidean 4-Space with Density AU - Mustafa Altın Y1 - 2022 PY - 2022 N1 - doi: 10.2339/politeknik.740513 DO - 10.2339/politeknik.740513 T2 - Politeknik Dergisi JF - Journal JO - JOR SP - 107 EP - 114 VL - 25 IS - 1 SN - -2147-9429 M3 - doi: 10.2339/politeknik.740513 UR - Y2 - 2020 ER -
EndNote %0 Politeknik Dergisi Rotational Hypersurfaces in Euclidean 4-Space with Density %A Mustafa Altın %T Rotational Hypersurfaces in Euclidean 4-Space with Density %D 2022 %J Politeknik Dergisi %P -2147-9429 %V 25 %N 1 %R doi: 10.2339/politeknik.740513 %U 10.2339/politeknik.740513
ISNAD Altın, Mustafa . "Rotational Hypersurfaces in Euclidean 4-Space with Density". Politeknik Dergisi 25 / 1 (Mart 2022): 107-114 .
AMA Altın M. Rotational Hypersurfaces in Euclidean 4-Space with Density. Politeknik Dergisi. 2022; 25(1): 107-114.
Vancouver Altın M. Rotational Hypersurfaces in Euclidean 4-Space with Density. Politeknik Dergisi. 2022; 25(1): 107-114.
IEEE M. Altın , "Rotational Hypersurfaces in Euclidean 4-Space with Density", Politeknik Dergisi, c. 25, sayı. 1, ss. 107-114, Mar. 2022, doi:10.2339/politeknik.740513