On hypersurfaces in a locally affine Riemannian Banach manifold.
Lashin, El-Said R., Mersal, Tarek F. (2002)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “On hypersurfaces in a locally affine Riemannian Banach manifold. II.”
On hypersurfaces in a locally affine Riemannian Banach manifold.
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Solutions of the P. J. Ryan problem as well as investigations of curvature properties of Cartan hypersurfaces and Ricci-pseudosymmetric hypersurfaces lead to curvature identities holding on every hypersurface M isometrically immersed in a semi-Riemannian space form. These identities, under some assumptions, give rises to new generalized Einstein metric conditions on M. We investigate hypersurfaces satisfying such curvature conditions.