The intrinsic conformal structure and Gauss map of a light-like hypersurface in Minkowski space
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- by Marek Kossowski PDF
- Trans. Amer. Math. Soc. 316 (1989), 369-383 Request permission
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.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 316 (1989), 369-383
- MSC: Primary 53C50; Secondary 53A30, 53C40
- DOI: https://doi.org/10.1090/S0002-9947-1989-0938920-1
- MathSciNet review: 938920