paper

Timelike General Rotational Surfaces in Minkowski 4-Space with Density

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 E^4_1 with density e^(λ_1x^2+λ_2^y2+λ_3z^2+λ_4t^2), 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 E^4_1 with density. Also, we construct some examples for these surfaces.

16 pages, 3 figures

Timelike General Rotational Surfaces in Minkowski 4-Space with Density · wovepaper