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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Article copyright: © Copyright 1989 American Mathematical Society