The geometric characteristics of SGL submanifolds in an indefinite Sasakian statistical manifold equipped with a quarter symmetric metric connection

2025/12/14 by V. G. Gupta, Gupta, Vandana, Shagun Shagun +3
Mathematics · Physics and Astronomy · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Morphological variations and asymmetry #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.2512.12522

openalex publication_date 2025/12/14 · openalex created_date 2025/12/17 · openalex updated_date 2026/07/28

Abstract

This research paper examines the geometric structure of screen generic lightlike (SGL) submanifolds in an indefinite Sasakian statistical manifold equipped with a quarter-symmetric (QS) metric connection. The study focuses on analyzing the integrability conditions and the parallelism properties of various distributions associated with these submanifolds. It explores the characteristics of totally geodesic foliations and mixed geodesic submanifolds, providing significant insights into their geometric behavior. In addition to the theoretical development, the paper also presents an illustrative example of a contact SGL submanifold within an indefinite Sasakian statistical manifold.

Citations

• Contact CR and SCR lightlike submanifolds of an indefinite Kenmotsu statistical manifold
• Geometry of lightlike hypersurfaces of a statistical manifold

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