Surfaces in $\textbf {R}^ 4$ with constant affine Gauss maps
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- by Luc Vrancken and Chang Ping Wang PDF
- Proc. Amer. Math. Soc. 123 (1995), 855-863 Request permission
Abstract:
In this paper we study the affine Gauss maps of nondegenerate surfaces in ${\mathbb {R}^4}$ with respect to the Burstin-Mayer normalization (1927) and with respect to the normalization obtained by Nomizu and the first author in 1993. We determine up to affine transformations all surfaces in ${\mathbb {R}^4}$ with constant affine Gauss maps.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 855-863
- MSC: Primary 53A15
- DOI: https://doi.org/10.1090/S0002-9939-1995-1246540-5
- MathSciNet review: 1246540