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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Normal curvatures and Euler classes for polyhedral surfaces in $ 4$-space


Author: Thomas F. Banchoff
Journal: Proc. Amer. Math. Soc. 92 (1984), 593-596
MSC: Primary 57Q35; Secondary 53C40, 57R20
MathSciNet review: 760950
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Abstract: Using the approach of singularities of projections into lower dimensional spaces it is possible to define nonintrinsic local curvature quantities at each vertex of a polyhedral surface immersed in $ 4$-space which add up to the normal Euler number of the immersion. Related uniqueness results for lattice polyhedra have been established by B. Yusin.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0760950-4
PII: S 0002-9939(1984)0760950-4
Keywords: Normal curvature, normal Euler class, singularities of projections, curvature for polyhedra, combinatorial formulas for characteristic classes
Article copyright: © Copyright 1984 American Mathematical Society