General Rotational Surfaces in the Four-dimensional Minkowski Space
Differential Geometry
2014-10-27 v1
Abstract
General rotational surfaces as a source of examples of surfaces in the four-dimensional Euclidean space have been introduced by C. Moore. In this paper we consider the analogue of these surfaces in the Minkowski 4-space. On the base of our invariant theory of spacelike surfaces we study general rotational surfaces with special invariants. We describe analytically the flat general rotational surfaces and the general rotational surfaces with flat normal connection. We classify completely the minimal general rotational surfaces and the general rotational surfaces consisting of parabolic points.
Keywords
Cite
@article{arxiv.1312.1464,
title = {General Rotational Surfaces in the Four-dimensional Minkowski Space},
author = {Georgi Ganchev and Velichka Milousheva},
journal= {arXiv preprint arXiv:1312.1464},
year = {2014}
}
Comments
12 pages. arXiv admin note: text overlap with arXiv:1011.4379, arXiv:1105.3370, arXiv:1012.0751, arXiv:1205.6350