GEODESIC LIGHTLIKE SUBMANIFOLDS OF INDEFINITE CONTACT METRIC STATISTICAL MANIFOLDS
By
Shagun Bhatti and Jasleen Kaur
Department of Mathematics Punjabi University, Patiala, Punjab, India-147002
Email: shagun.bhatti82@gmail.com, jasleen math@pbi.ac.in
(Received: September 27, 2024; In format: October 02, 2024; Revised: April 26, 2025; Accepted: May 18, 2025)
DOI: https://doi.org/10.58250/jnanabha.2025.55118
Abstract
This research article introduces the geodesic contact Cauchy Riemann (CR) and screen Cauchy Riemann (SCR)-lightlike submanifolds of an indefinite cosymplectic statistical manifold. It investigates the geodesicity in lightlike submanifolds of an indefinite Sasakian statistical manifold and presents findings on the total geodesicity, mixed geodesicity, Ď and D' -geodesicity of contact CR and SCR-lightlike submanifolds.
2020 Mathematical Sciences Classification: 53D10; 53D15; 58A05; 58B20.
Keywords and Phrases: Lightlike submanifolds; indefinite Sasakian statistical manifolds; geodesic contact CR and contact SCR-lightlike submanifolds; geodesic submanifolds.