ON SEMI-INVARIANT SUBMANIFOLDS OF A NEARLY KENMOTSU MANIFOLD WITH A QUARTER SYMMETRIC NON-METRIC CONNECTION
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We de¯ne a quarter symmetric non-metric connection in a nearly Ken-motsu manifold and we study semi-invariant submanifolds of a nearly Kenmotsu manifold endowed with a quarter symmetric non-metric connection. Moreover, we discuss the integrability of the distributions on semi-invariant submanifolds of a nearly Kenmotsu manifold with a quarter symmetric non-metric connection.
Abstract
We de¯ne a quarter symmetric non-metric connection in a nearly Ken-motsu manifold and we study semi-invariant submanifolds of a nearly Kenmotsu manifold endowed with a quarter symmetric non-metric connection. Moreover, we discuss the integrability of the distributions on semi-invariant submanifolds of a nearly Kenmotsu manifold with a quarter symmetric non-metric connection.
참고문헌 (11)
- M. Ahmad, "Semi-invariant submanifolds of a nearly Kenmotsu manifold with a semi-symmetric non-metric connection"
- M. Ahmad, "Hypersurfaces of an almost r-paracontact Rie- mannian manifold endowed with a quarter symmetric non-metric connection", Kyung- pook Math. J
- A. Bejancu, "Geometry of CR-submanifolds" (1986), Reidel Publishing Company
- D.E. Blair, "Lecture notes in Math" (1976), Springer-verlag
- S.K. Lovejoy, "On semi-invariant submanifolds of a nearly Sasakian manifold with quarter symmetric non-metric connection"
- S. Golab, "On semi-symmetric and quarter symmetric linear connections", Tensor, N. S, 29(3), pp.249~254 (1975)
- K. Kenmotsu, "A class of almost contact Riemannian manifold", Tohoku Math. J, 24, pp.93~ (1972)
- J.S. Kim, "On semi-invariant submanifolds of nearly trans Sasakian manifolds", Int. J. Pure Appl. Math. Sci, 1, pp.15~34 (2004)
- M. Kobayashi, "Semi-invariant submanifolds of a certain class of almost contact mani- folds", Tensor, N. S, 43, pp.28~36 (1986)
- B.B. Sinha, "Some results on semi-invariant submanifolds of a certain class of almost contact manifolds", Indian J. pure appl. Math, 22, pp.783~ (1991)
- M.M. Tripathi, "Semi-invariant submanifolds of nearly Kenmotsu mani- folds", Bull. Cal. Math. Soc, 95(1), pp.17~30 (2003)