Statistical submanifolds from a viewpoint of the Euler inequality
type: Item
instance of: scholarly article
title: Statistical submanifolds from a viewpoint of the Euler inequality
zbMATH Open document ID: 1473.53038
author: Naoto Satoh
author: Hitoshi Furuhata
author: Izumi Hasegawa
author: Toshiyuki Nakane
author: Yukihiko Okuyama
author: Kimitake Sato
author: Aliya Naaz Siddiqui
author: Mohammad Hasan Shahid
published in: Information Geometry
publication date: 2021-08-26T00:00:00Z
Mathematics Subject Classification ID: 53B25
Mathematics Subject Classification ID: 53B35
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53B12
zbMATH DE Number: 7385420
zbMATH Keywords: statistical manifolds
zbMATH Keywords: warped product
zbMATH Keywords: Euler inequality
zbMATH Keywords: doubly autoparallel submanifolds
zbMATH Keywords: doubly totally-umbilical submanifolds
MaRDI profile type: Publication
full work available at URL: s41884-020-00032-4
OpenAlex ID: W3083675169
cites work: Q4527387
cites work: Some inequalities for statistical submanifolds of quaternion Kaehler-like statistical space forms
cites work: Some inequalities on submanifolds in statistical manifolds of constant curvature
cites work: Inequalities for submanifolds in statistical manifolds of quasi-constant curvature
cites work: Einstein statistical warped product manifolds
cites work: Mean curvature and shape operator of isometric immersions in real-space-forms
cites work: Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions
cites work: Q4814455
cites work: Submanifold Theory in Holomorphic Statistical Manifolds
cites work: Kenmotsu statistical manifolds and warped product
cites work: Hessian manifolds of nonpositive constant Hessian sectional curvature
cites work: A proof of the DDVV conjecture and its equality case
cites work: Q5565587
cites work: Normal scalar curvature conjecture and its applications
cites work: Curvature invariants for statistical submanifolds of Hessian manifolds of constant Hessian curvature
cites work: A study of Wintgen like inequality for submanifolds in statistical warped product manifolds
cites work: Q3430799
cites work: Q3596622
cites work: Q3854271
DOI: 10.1007/S41884-020-00032-4
description: scientific article; zbMATH DE number 7385420