ON KENMOTSU MANIFOLDS

Title & Authors
ON KENMOTSU MANIFOLDS
JUN JAE-BOK; DE UDAY CHAND; PATHAK GOUTAM;

Abstract
The purpose of this paper is to study a Kenmotsu manifold which is derived from the almost contact Riemannian manifold with some special conditions. In general, we have some relations about semi-symmetric, Ricci semi-symmetric or Weyl semisymmetric conditions in Riemannian manifolds. In this paper, we partially classify the Kenmotsu manifold and consider the manifold admitting a transformation which keeps Riemannian curvature tensor and Ricci tensor invariant.
Keywords
Ricci semi-symmetric Kenmotsu manifold;Weyl semisymmetric Kenmotsu manifold;$\small{\eta}$-Einstein manifold;$\small{\eta}$-parallel Ricci tensor;
Language
English
Cited by
1.
ON A SEMI-SYMMETRIC METRIC CONNECTION IN AN (ε)-KENMOTSU MANIFOLD,Singh, Ram Nawal;Pandey, Shravan Kumar;Pandey, Giteshwari;Tiwari, Kiran;

대한수학회논문집, 2014. vol.29. 2, pp.331-343
1.
On lightlike geometry in indefinite Kenmotsu manifolds, Mathematica Slovaca, 2012, 62, 2
2.
Locally Symmetric CR-Integrable Almost Kenmotsu Manifolds, Mediterranean Journal of Mathematics, 2015, 12, 1, 159
3.
On invariant submanifolds of Kenmotsu manifolds, Journal of Geometry, 2015, 106, 1, 109
4.
ON A SEMI-SYMMETRIC METRIC CONNECTION IN AN (ε)-KENMOTSU MANIFOLD, Communications of the Korean Mathematical Society, 2014, 29, 2, 331
5.
On a type of almost Kenmotsu manifolds with nullity distributions, Arab Journal of Mathematical Sciences, 2016
6.
Some Curvature Properties of Kenmotsu Manifolds, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2015, 85, 3, 407
7.
Ricci Semi-symmetric Hypersurfaces in Complex Two-Plane Grassmannians, Bulletin of the Malaysian Mathematical Sciences Society, 2016
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