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Harmonic Gauss maps and Codazzi tensors for affine hypersurfaces

โœ Scribed by Yi -Bing Shen


Book ID
112495397
Publisher
Springer
Year
1990
Tongue
English
Weight
293 KB
Volume
55
Category
Article
ISSN
0003-889X

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โœ Marek Kossowski ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Springer ๐ŸŒ English โš– 546 KB

A compact oriented hypersurface in four-dimensional Minkowski space contains a locus where the induced metric is degenerate. We show that if certain transversality conditions are satisfied then the degree of the hypersurface Gauss map is determined by the Euler characteristic of the degeneracy locus