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We study some properties of a semi-Riemannian submanifold of a semi-Riemannian manifold with a semi-symmetric non-metric connection. Then, we prove that the Ricci tensor of a semi-Riemannian submanifold of a semi-Riemannian space form admitting a semi-symmetric non-metric connection is symmetric but is not parallel. Last, we give the conditions under which a totally umbilical semi-Riemannian submanifold with a semi-symmetric non-metric connection is projectively flat.
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참고문헌 (11)
참고문헌 신청
A. Friedmann / 1924 / ¨Uber die Geometrie der halbsymmetrischen¨Ubertragungen / Math. Z 21 (1) : 211 ~ 223
A. Y¨ucesan / / Non-degenerate hypersurfaces of a semi-Riemannian manifold with a semi-symmetric non-metric connection, to appear in Mathematical Reports
B. O’Neill / 1983 / Semi-Riemannian Geometry with Applications to Relativity / Academic Press
B. Prasad / 2004 / On a type of semi-symmetric non-metric connection on a Riemannian manifold / Bull. Calcutta Math. Soc 96 (6) : 483 ~ 488
B. Y. Chen / 1973 / Geometry of Submanifolds / Marcel-Dekker Inc
A. Y¨ucesan / / Non-degenerate hypersurfaces of a semi-Riemannian manifold with a semi-symmetric non-metric connection, to appear in Mathematical Reports
B. O’Neill / 1983 / Semi-Riemannian Geometry with Applications to Relativity / Academic Press
B. Prasad / 2004 / On a type of semi-symmetric non-metric connection on a Riemannian manifold / Bull. Calcutta Math. Soc 96 (6) : 483 ~ 488
B. Y. Chen / 1973 / Geometry of Submanifolds / Marcel-Dekker Inc
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