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Timelike general rotational surfaces in Minkowski 4-space with density

윤대원|Mustafa Altın|Ahmet Kazan
대한수학회 (The Korean Mathematical Society)|2024.11|대한수학회지 (Journal of the KMS)|제61권 제6호|pp. 1051-1071|DOI 10.4134/JKMS.j230260

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키워드

densityTimelike general rotational surfaceweighted mean curvatureweighted Gaussian curvature
주제분류수학

초록

In this study, we give weighted mean and weighted Gaussian curvatures of two types of timelike general rotational surfaces with non-null plane meridian curves in four-dimensional Minkowski space $\mathbb{E}_{1}^{4}$ with density $e^{\lambda_{1}x^{2}+\lambda_{2}y^{2}+\lambda_{3}z^{2}+\lambda_{4}t^{2}},$ where $\lambda_{i}$ ($i=1,2,3,4$) are not all zero. We give some results about weighted minimal and weighted flat timelike general rotational surfaces in $\mathbb{E}_{1}^{4}$ with density. Also, we construct some examples for these surfaces.

Abstract

In this study, we give weighted mean and weighted Gaussian curvatures of two types of timelike general rotational surfaces with non-null plane meridian curves in four-dimensional Minkowski space $\mathbb{E}_{1}^{4}$ with density $e^{\lambda_{1}x^{2}+\lambda_{2}y^{2}+\lambda_{3}z^{2}+\lambda_{4}t^{2}},$ where $\lambda_{i}$ ($i=1,2,3,4$) are not all zero. We give some results about weighted minimal and weighted flat timelike general rotational surfaces in $\mathbb{E}_{1}^{4}$ with density. Also, we construct some examples for these surfaces.

참고문헌 (30)

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