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

Jasleen Kaur; Vandana Rani

doi:10.26637/MJM0804/0001

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

Mathematics Subject Classification:

Mathematics

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Jasleen Kaur Department of Mathematics, Punjabi University, Patiala -147002, Punjab, India.
Vandana Rani Department of Mathematics, Punjabi University, Patiala -147002, Punjab, India.

Pages: 1346-1353
Date Published: 01-10-2020
Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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