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.
Open Access
On hypersurfaces in a locally affine Riemannian Banach manifold
Received12 Sept 2001
Copyright
Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.