Timelike General Rotational Surfaces in Minkowski 4-Space with Density

2023/05/11 by Kazan, Ahmet, Altın, Mustafa, Yoon, Dae Won
#53A10 #53A35 #53B30 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2305.18237

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 E⁴₁ with density e^(λ₁x²+λ₂^y2+λ₃z²+λ₄t²), where λ_i (i = 1,2,3,4) are not all zero and we give some results about weighted minimal and weighted flat timelike general rotational surfaces in E⁴₁ with density. Also, we construct some examples for these surfaces.

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