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NON-DEGENERATE HYPERSURFACES OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

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dc.creator YÜCESAN, Ahmet
dc.creator YAŞAR, EROL
dc.date 2011-12-31T22:00:00Z
dc.date.accessioned 2020-10-06T09:36:06Z
dc.date.available 2020-10-06T09:36:06Z
dc.identifier 2a7a8bb5-6162-4cdb-8998-9307aa675a2a
dc.identifier https://avesis.sdu.edu.tr/publication/details/2a7a8bb5-6162-4cdb-8998-9307aa675a2a/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/56117
dc.description We consider a non-degenerate hypersurface of a semi-Riemannian manifold with a semi-symmetric non-metric connection. We obtain a relation between the Ricci and the scalar curvatures of a semi-Riemannian manifold and of its non-degenerate hypersurface with respect to a semi-symmetric non-metric connection. We also show that the Ricci tensor of a non-degenerate hypersurface of a semi-Riemannian space form admitting a semi-symmetric non-metric connection is symmetric, but not parallel. Finally, we get the conditions under which a non-degenerate hypersurface with a semi-symmetric non-metric connection is projectively flat.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title NON-DEGENERATE HYPERSURFACES OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION
dc.type info:eu-repo/semantics/article


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