On semi-invariant submanifolds of a nearly Kenmotsu manifold with the canonical semi-symmetric semi-metric connection

Authors

  • Mobin Ahmad Department of Mathematics, Integral University, Kursi Road, Lucknow-226026, India Author

Keywords:

Semi-invariant submanifolds, nearly Kenmotsu manifolds, canonical semi-symmetric semi-metric connection, Gauss and Weingarten equations, integrability conditions of distributions

Subjects:

53D15, 53C40, 53C05

Abstract

We define the canonicalsemi-symmetric semi-metric connection in a nearly Kenmotsu manifoldand we study semi-invariant submanifolds of a nearly Kenmotsumanifold endowed with the canonical semi-symmetric semi-metricconnection. Moreover, we discuss the integrability of distributionson semi-invariant submanifolds of a nearly Kenmotsu manifold withthe canonical semi-symmetric semi-metric connection.

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Published

2010-07-15