On space-like generalized constant ratio hypersufaces in Minkowski spaces
Differential Geometry
2018-11-09 v2
Abstract
A hypersurface in a Euclidean space is said to be a generalized constant ratio (GCR) hypersurface if the tangential part of its position vector is one of its principle directions. In this work, we move the study of generalized constant ratio hypersurfaces started in \cite% {YuFu2014GCRS} into the Minkowski space. First, we get some geometrical properties of non-degenerated GCR hypersurfaces in an arbitrary dimensional Minkowski space. Then, we obtain complete classification of GCR surfaces in the Minkowski 3-space. We also give some explicit examples.
Keywords
Cite
@article{arxiv.1603.08415,
title = {On space-like generalized constant ratio hypersufaces in Minkowski spaces},
author = {Mahmut Ergüt and Alev Kelleci and Nurettin Cenk Turgay},
journal= {arXiv preprint arXiv:1603.08415},
year = {2018}
}
Comments
Keywords: Generalized constant ratio hypersurfaces, Minkowski 3-space, space-like surfaces, flat surfaces