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Research Article

QUARTER-SYMMETRIC METRIC CONNECTION ON ALMOST KENMOTSU MANIFOLD WITH NULLITY DISTRIBUTION

A
Abul Kalam Mondal Department of Mathematics, Acharya Prafulla Chandra College, New Barrackpore, Kolkata - 700131, West Bengal, INDIA
Volume 17, Issue 1 Pages 433-448 April 30, 2021 267 downloads
Article overview

Abstract

The aim of the present paper is to characterized $(k,\mu)'$ almost Kenmotsu manifold admitting quarter-symmetric metric connection. Next we consider an almost Kenmotsu manifold with $h'\neq 0$ and $\xi$ belonging to $(k,\mu)'$-nullity distribution satisfying certain curvature conditions with respect to quarter-symmetric metric connection.

Keywords and Phrases

Almost Kenmotsu manifoldquarter-symmetric metric connectioncurvature tensorCR-integrablenullity distribution.

AMS Subject Classification

53C05, 53D10, 53D15.

Reference information

How to Cite

Abul Kalam Mondal (2021). QUARTER-SYMMETRIC METRIC CONNECTION ON ALMOST KENMOTSU MANIFOLD WITH NULLITY DISTRIBUTION. South East Asian Journal of Mathematics and Mathematical Sciences, 17(1), 433-448.
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