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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The intrinsic conformal structure and Gauss map of a light-like hypersurface in Minkowski space


Author: Marek Kossowski
Journal: Trans. Amer. Math. Soc. 316 (1989), 369-383
MSC: Primary 53C50; Secondary 53A30, 53C40
MathSciNet review: 938920
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Abstract: We begin by pointing out two subtleties in the global properties of hypersurfaces in Minkowski space which inherit a uniformly degenerate metric (i.e., the existence of global space-like sections and the notion of an icon; see Appendices 1 and 2). We then construct a Gauss map for such hypersurfaces and an intrinsic invariant. This leads us to results concerning light-like hypersurfaces which parallel known results concerning surfaces in Euclidean space.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1989-0938920-1
PII: S 0002-9947(1989)0938920-1
Article copyright: © Copyright 1989 American Mathematical Society