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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 31 (2002), Issue 6, Pages 375-379
doi:10.1155/S0161171202109148

On hypersurfaces in a locally affine Riemannian Banach manifold

El-Said R. Lashin and Tarek F. Mersal

Department of Mathematics, Faculty of Science, Menoufiya University, Menoufiya, 32511, Egypt

Abstract

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.