Basic Classes of Timelike General Rotational Surfaces in the Four-dimensional Minkowski Space
Abstract
In the present paper, we consider timelike general rotational surfaces in the Minkowski 4-space which are analogous to the general rotational surfaces in the Euclidean 4-space introduced by C. Moore. We study two types of such surfaces (with timelike and spacelike meridian curve, respectively) and describe analytically some of their basic geometric classes: flat timelike general rotational surfaces, timelike general rotational surfaces with flat normal connection, and timelike general rotational surfaces with non-zero constant mean curvature. We give explicitly all minimal timelike general rotational surfaces and all timelike general rotational surfaces with parallel normalized mean curvature vector field.
Keywords
Cite
@article{arxiv.2212.14603,
title = {Basic Classes of Timelike General Rotational Surfaces in the Four-dimensional Minkowski Space},
author = {Victoria Bencheva and Velichka Milousheva},
journal= {arXiv preprint arXiv:2212.14603},
year = {2023}
}
Comments
15 pages, accepted for publication in Filomat. arXiv admin note: text overlap with arXiv:1312.1464