Certain study of generalized $B$ curvature tensor within the framework of Kenmotsu manifold
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In the present study, we consider some curvature properties of generalized $B$-curvature tensor on Kenmotsu manifold. Here first we describe certain vanishing properties of generalized $B$ curvature tensor on Kenmostu manifold. Later we formulate generalized $B$ pseudo-symmetric condition on Kenmotsu manifold. Moreover, we also characterize generalized $B$ $\phi$-recurrent Kenmotsu manifold.
Abstract
In the present study, we consider some curvature properties of generalized $B$-curvature tensor on Kenmotsu manifold. Here first we describe certain vanishing properties of generalized $B$ curvature tensor on Kenmostu manifold. Later we formulate generalized $B$ pseudo-symmetric condition on Kenmotsu manifold. Moreover, we also characterize generalized $B$ $\phi$-recurrent Kenmotsu manifold.
참고문헌 (10)
- A. Barman, "Projective curvature tensor of a semi-symmetric metric connection in a Kenmotsu manifold", Int. Electron. J. Geom, 6(1), pp.159~169 (2013)
- D. E. Blair, "Contact manifolds in Riemannian geometry", Lecture Notes in Mathematics, 509 (1976), Springer-Verlag
- Y. Ishii, "On conharmonic transformations", Tensor(N. S. ), 7, pp.73~80 (1957)
- Jae Bok Jun, "ON KENMOTSU MANIFOLDS", 대한수학회지, 42(3), pp.435~445 (2005), 대한수학회
- K. Kenmotsu, "A class of almost contact Riemannian manifolds", Tohoku Math. J. (2), 24, pp.93~103 (1972)[DOI]
- A. Prakash, "On concircularly ϕ-recurrent Kenmotsu manifolds", Bull. Math. Anal. Appl, 3(2), pp.83~88 (2011)
- A. A. Shaikh, "On equivalency of various geometric structures", J. Geom, 105(1), pp.139~165 (2014)[DOI]
- K. Yano, "Concircular geometry. I. Concircular transformations", Proc. Imp. Acad. Tokyo, 16, pp.195~200 (1940)[DOI]
- K. Yano, "Structures on manifolds, Series in Pure Mathematics, 3" (1984), World Scientific Publishing Co
- K. Yano, "Riemannian manifolds admitting a conformal transformation group", J. Diff. Geom, 2, pp.161~184 (1968)[DOI]