On Contact CR-Product of Sasakian statistical manifold

2023/05/31 by Rani, Vandana, Kaur, Jasleen
#53D15 #Differential Geometry (math.DG) #FOS: Mathematics #Primary 58A05 #Secondary 53D10

paper · doi:10.48550/arxiv.2305.19790

Abstract

This paper studies the geometric properties of contact CR-submanifolds of Sasakian statistical manifold. The integrability of invariant and anti-invariant distributions of contact CR-submanifolds has been characterized. Results on D-totally geodesic, mixed totally geodesic and D-umbilic contact CR submanifolds with regard to dual connections in statistical manifolds have been developed. The statistical version of contact CR-product of Sasakian statistical manifold has been introduced.

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