Cauchy Riemann-lightlike submanifolds in the aspect of an indefinite Kaehler statistical manifold
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Abstract
The present work aims to analyse the lightlike geometry of an indefinite Kaehler statistical manifold and develop
properties based on the structure of Cauchy Riemann (CR)-lightlike submanifolds of the same.The results
related to induced geometric objects corresponding to the dual connections in these submanifolds have been
established. We also characterize the geodesicity and integrability of distributions of the tangent bundle in the CR
lightlike submanifolds of the indefinite Kaehler statistical manifold. Further, some conditions on totally umbilical
Cauchy Riemann-lightlike submanifolds have been derived.
Keywords:
Statistical manifold, CR-lightlike submanifolds, mixed geodesic, foliation, indefinite Kaehler statistical manifoldMathematics Subject Classification:
Mathematics- Pages: 136-143
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
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