On recurrent space with respect to metric semi-symmetric connection
S. S. Pujar (1984)
Colloquium Mathematicae
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S. S. Pujar (1984)
Colloquium Mathematicae
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Hiricǎ, I.E., Nicolescu, L. (2008)
Balkan Journal of Geometry and its Applications (BJGA)
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Mehmet Akif Akyol, Aysel Turgut Vanli, Luis M. Fernández (2013)
Annales Polonici Mathematici
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In this study, S-manifolds endowed with a semi-symmetric metric connection naturally related with the S-structure are considered and some curvature properties of such a connection are given. In particular, the conditions of semi-symmetry, Ricci semi-symmetry and Ricci-projective semi-symmetry of this semi-symmetric metric connection are investigated.
J. Krawczyk (1988)
Colloquium Mathematicae
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Hülya Bağdatlı Yılmaz (2011)
Annales Polonici Mathematici
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The object of the present paper is to study weakly symmetric manifolds admitting a type of semi-symmetric non-metric connection.
Ahmet Yücesan, Nihat Ayyildiz (2008)
Archivum Mathematicum
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We derive the equations of Gauss and Weingarten for a non-degenerate hypersurface of a semi-Riemannian manifold admitting a semi-symmetric metric connection, and give some corollaries of these equations. In addition, we obtain the equations of Gauss curvature and Codazzi-Mainardi for this non-degenerate hypersurface and give a relation between the Ricci and the scalar curvatures of a semi-Riemannian manifold and of its a non-degenerate hypersurface with respect to a semi-symmetric metric...
Eric Boeckx (1993)
Archivum Mathematicum
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One proves that semi-symmetric spaces with a Codazzi or Killing Ricci tensor are locally symmetric. Some applications of this result are given.