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On a semi-symmetric non-metric connection in an almost kenmotsu manifold with nullity distribution
Gopal Ghosh
- Vol. 31, Iss: 1, pp 245-257
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TLDR
In this paper, a semisymmetric non-metric connection in an almost Kenmotsu manifold with its characteristic vector field belonging to the $(k,\mu)'$-nullity distribution was considered.Abstract:
We consider a semisymmetric non-metric connection in an almost Kenmotsu manifold with its characteristic vector field $\xi$ belonging to the $(k,\mu)'$-nullity distribution. We first obtain the expressions of the curvature tensor and Ricci tensor with respect to the semisymmetric non-metric connection in an almost Kenmotsu manifold with $\xi$ belonging to the $(k,\mu)'$-nullity distribution. Then we characterize an almost Kenmotsu manifold with $\xi$ belonging to the $(k,\mu)'$-nullity distribution.read more
Citations
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On Schouten-van Kampen connection in Sasakian manifolds
TL;DR: In this article, the Schouten-van Kampen connection associated to a Sasakian structure has been studied and the curvature properties of this connection on Sasakians have been characterized.
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TL;DR: In this article, a study of contact metric manifolds for which the characteristic vector field of the contact structure satisfies a nullity type condition, condition (*) below, is presented.
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Almost Kenmotsu manifolds and local symmetry
Giulia Dileo,Anna Maria Pastore +1 more
TL;DR: In this paper, the authors consider locally symmetric almost Kenmotsu manifold and show that the manifold is locally isometric to the Riemannian product of an n+1-dimensional manifold of constant curvature.
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Almost Kenmotsu Manifolds and Nullity Distributions
Giulia Dileo,Anna Maria Pastore +1 more
TL;DR: In this paper, the authors characterize almost contact metric manifolds which are CR-integrable almost Kenmotsu, through the existence of a suitable linear connection, and give examples and completely describe the three dimensional case.
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