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Classification of ruled surfaces in Minkowski 3-spaces

โœ Scribed by Young Ho Kim; Dae Won Yoon

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
142 KB
Volume
49
Category
Article
ISSN
0393-0440

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โœฆ Synopsis

In this paper, we study some properties about the second Gaussian curvature of ruled surfaces in a three-dimensional Minkowski space. Furthermore, we classify ruled surfaces in a three-dimensional Minkowski space in terms of the second Gaussian curvature, the mean curvature and the Gaussian curvature.

๐Ÿ“œ SIMILAR VOLUMES

Hypersurfaces of restricted type in Mink
Hypersurfaces of restricted type in Minkowski space
โœ Christos Baikoussis; David Blair; Bang-Yen Chen; Filip Defever ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Springer ๐ŸŒ English โš– 721 KB

A submanifold M~ of Minkowski space ]E~ is said to be of restricted type if its shape operator with respect to the mean curvature vector is the restriction of a fixed linear transformation of ~ to the tangent space of M~ at every point of M~. In this paper we completely classify hypersurfaces of res