Distributions in CR-lightlike submanifolds of an indefinite Kaehler statistical manifold

Jasleen Kaur 1* and Vandana Rani 2

doi:10.26637/MJM0804/0001

Distributions in CR-lightlike submanifolds of an indefinite Kaehler statistical manifold

Authors :

Jasleen Kaur ^1*and Vandana Rani²

Author Address :

^1,2Department of Mathematics, Punjabi University, Patiala -147002, Punjab, India.

*Corresponding author.

Abstract :

In this paper, the distributions in CR-lightlike submanifolds of an indefinite Kaehler Statistical manifold have been characterized using second fundamental form and the necessary and sufficient conditions for integrability of the same have been obtained. Also, the conditions for the distributions to be totally geodesic with respect to the dual connections in the statistical manifold have been developed.

Keywords :

CR-lightlike submanifolds, distribution, indefinite Kaehler Statistical manifold, totally geodesic submanifold, integrability.

DOI :

10.26637/MJM0804/0001

Article Info :

Received : April 14, 2020; Accepted : August 19, 2020.