On hypersurfaces in a locally affine Riemannian Banach manifold

We prove that an essential hypersurface of second order in an infinite dimensional locally affine Riemannian Banach manifold is a Riemannian manifold of constant nonzero curvature.

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Bibliographic Details
Main Authors: El-Said R. Lashin, Tarek F. Mersal
Format: Article
Language:English
Published: Wiley 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202109148
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