On hypersurfaces in a locally affine Riemannian Banach manifold

El-Said R. Lashin and Tarek F. Mersal

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 31, 1-5

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.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:543724

DOI: 10.1155/S0161171202109148

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