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arXiv · 2212.14603

Basic Classes of Timelike General Rotational Surfaces in the Four-dimensional Minkowski Space

Victoria Bencheva·Velichka Milousheva
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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.

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Victoria Bencheva, Velichka Milousheva. 2022-12-30. Basic Classes of Timelike General Rotational Surfaces in the Four-dimensional Minkowski Space. https://arxiv.org/abs/2212.14603

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