Geodesic
Generalized Second Fundamental form for Lipschitzian Hypersurfaces by Way of Second Epi Derivatives
Canadian mathematical bulletin, Tome 35 (1992) no. 4, pp. 523-536

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DOI

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.
DOI : 10.4153/CMB-1992-069-5
Mots-clés : 53A04, 26B25 
Noll, Dominikus. Generalized Second Fundamental form for Lipschitzian Hypersurfaces by Way of Second Epi Derivatives. Canadian mathematical bulletin, Tome 35 (1992) no. 4, pp. 523-536. doi: 10.4153/CMB-1992-069-5
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     title = {Generalized {Second} {Fundamental} form for {Lipschitzian} {Hypersurfaces} by {Way} of {Second} {Epi} {Derivatives}},
     journal = {Canadian mathematical bulletin},
     pages = {523--536},
     year = {1992},
     volume = {35},
     number = {4},
     doi = {10.4153/CMB-1992-069-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-069-5/}
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