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Hypersurfaces of restricted type in Minkowski space

✍ Scribed by Christos Baikoussis; David Blair; Bang-Yen Chen; Filip Defever

Publisher
Springer
Year
1996
Tongue
English
Weight
721 KB
Volume
62
Category
Article
ISSN
0046-5755

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✦ Synopsis

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 restricted type in ]E~ + i. More precisely, we prove that a hypersurface of ]E~ is of restricted type if and only if it is either a minimal hypersurface, or an open part of one of the following hypersurfaces:

or an open part of a cylinder on a plane curve of restricted type.

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