Semi-symmetric semi-metric connection in a Lorentzian β-Kenmotsu manifold
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In the present paper, we consider a semi-symmetric semi-metric connection in a Lorentzian β-Kenmotsu manifold. We investigate the curvature tensor and the Ricci tensor of a Lorentzian β-Kenmotsu manifold with a semi-symmetric semi-metric connection. Moreover, we consider pseudo projectively flat, ξ-pseudo projectively flat and Φ-pseudo projectively semisymmetric Lorentzian β-Kenmotsu manifolds with a semi-symmetric semi-metric connection and obtain the scalar curvature r in each case.
Abstract
In the present paper, we consider a semi-symmetric semi-metric connection in a Lorentzian β-Kenmotsu manifold. We investigate the curvature tensor and the Ricci tensor of a Lorentzian β-Kenmotsu manifold with a semi-symmetric semi-metric connection. Moreover, we consider pseudo projectively flat, ξ-pseudo projectively flat and Φ-pseudo projectively semisymmetric Lorentzian β-Kenmotsu manifolds with a semi-symmetric semi-metric connection and obtain the scalar curvature r in each case.
참고문헌 (12)
- Blair, D. E., "Conformal and related changes of metric on the product of two almost contact metric manifolds", Publications Matematiques, 34, pp.199~207 (1990)
- U. C. De, "On -Ricci symmetric Sasakian manifolds", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 11(1), pp.47~52 (2008), 장전수학회
- Friedmann, A., "Uber die Geometric der halbsymmetrischen Ubertragung", Math. Z, 21, pp.211~223 (1924)
- Gray, A., "The sixteen classes of almost Hermitian manifolds and their linear invariants", Ann. Math. Pura Appl., 123, pp.35~58 (1980)
- Kenmotsu, K., "A class of almost contact Riemannian manifolds", Tohoku Math. J., 24, pp.93~103 (1972)
- Matsumoto, K., "On a Lorentzian para-contact manifolds", Bull. of Yamagata Univ. Nat. Sci, 12, pp.151~156 (1989)
- Oubina, J. A., "New classes of contact metric structures", Publ. Math. Debrecen, 32, pp.187~193 (1985)
- Prasad, B., "On pseudo projective curvature tensor on a Riemannian manifold", Bull. Calcutta Math. Soc., 94, pp.163~166 (2002)
- Schouten, J. A., "Ricci Calculus" (1954), Springer
- Tanno, S., "The automorphism groups of almost contact Riemannian manifolds", Tohoku Math. J., 21, pp.21~38 (1969)
- Yaliniz, A. F., "On three dimensional Lorentzian β-Kenmotsu manifolds", Kuwait J. Sci. Eng., 36, pp.51~62 (2009)
- Yano, K., "Structures on Manifolds, Series in Pure Mathematics" (1984), World Scientifc