@article{Siddiqui2024, 
author = {Aliya Naaz Siddiqui and Meraj Ali Khan and Amira Ishan},
title = {Contact CR  δ-invariant: an optimal estimate for Sasakian statistical manifolds},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {10},
pages = {29220-29234},
keywords = {statistical manifolds, geometric inequality, generic submanifolds, δ-invariant},
url = {https://www.sciopen.com/article/10.3934/math.20241416},
doi = {10.3934/math.20241416},
abstract = {Chen (1993) developed the theory of  δ-invariants to establish novel necessary conditions for a Riemannian manifold to allow a minimal isometric immersion into Euclidean space. Later, Siddiqui et al. (2024) derived optimal inequalities involving the CR  δ-invariant for a generic statistical submanifold in a holomorphic statistical manifold of constant holomorphic sectional curvature. In this work, we extend the study of such optimal inequality to the contact CR  δ-invariant on contact CR-submanifolds in Sasakian statistical manifolds of constant  ϕ-sectional curvature. This paper concludes with a summary and final remarks.}
}