1 Ocak 2009 Dergi makalesi Açık Erişim

Arslan, K.; De, U. C.; Murathan, C.; Yildiz, A.

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    <subfield code="a">The object of the present paper is to study a type of Riemannian manifolds called generalized recurrent manifolds. We have constructed two concrete examples of such a manifold whose scalar curvature is non-zero non-constant. Some other properties have been considered. Among others it is shown that on a generalized recurrent manifold with constant scalar curvature, Weyl-semisymmetry and semisymmetry are equivalent. Sufficient condition for a generalized recurrent manifold to be a special quasi Einstein manifold is obtained.</subfield>
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    <subfield code="a">On generalized recurrent Riemannian manifolds</subfield>
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