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Generalized Second Fundamental form for Lipschitzian Hypersurfaces by Way of Second Epi Derivatives

Published online by Cambridge University Press:  20 November 2018

Dominikus Noll
Dominikus Noll*
Affiliation:
Universität Stuttgart Mathematisches Institut B Pfajfenwaldring 57 7000 Stuttgart 80 Germany
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Abstract

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Using second epi derivatives, we introduce a generalized second fundamental form for Lipschitzian hypersurfaces. In the case of a convex hypersurface, our approach leads back to the classical second fundamental form, which is usually obtained from the second fundamental forms of the outer parallel surfaces by means of a limit procedure.

Keywords

53A0426B25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 4 , 01 December 1992 , pp. 523 - 536
Copyright
Copyright © Canadian Mathematical Society 1992

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