Conformal hypersurfaces with the same Gauss map

Dajczer, Marcos; Vergasta, E.

doi:10.1090/S0002-9947-1995-1297522-3

Conformal hypersurfaces with the same Gauss map
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by Marcos Dajczer and E. Vergasta PDF

Trans. Amer. Math. Soc. 347 (1995), 2437-2456 Request permission

Abstract:

In this paper we provide a complete classification of all hypersurfaces of Euclidean space which admit conformal deformations, other than the ones obtained through conformal diffeomorphisms of the ambient space, preserving the Gauss map.

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