Inequalities on Sasakian statistical manifolds in terms of Casorati curvatures
type: Item
instance of: scholarly article
title: Inequalities on Sasakian statistical manifolds in terms of Casorati curvatures
zbMATH Open document ID: 1407.53045
author: Chul Woo Lee
author: Jae Won Lee
published in: Mathematics
publication date: 2018-12-18T00:00:00Z
review text: Summary: A statistical structure is considered as a generalization of a pair of a Riemannian metric and its Levi-Civita connection. With a pair of conjugate connections \(\nabla\) and \(\nabla^\ast\) in the Sasakian statistical structure, we provide the normalized scalar curvature which is bounded above from Casorati curvatures on \(C\)-totally real (Legendrian and slant) submanifolds of a Sasakian statistical manifold of constant \(\varphi\)-sectional curvature. In addition, we give examples to show that the total space is a sphere.
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C05
Mathematics Subject Classification ID: 62B10
zbMATH DE Number: 6994862
zbMATH Keywords: Sasakian statistical manifold
zbMATH Keywords: conjugate connection
zbMATH Keywords: Casorati curvature
MaRDI profile type: Publication
full work available at URL: math6110259
OpenAlex ID: W2901019776
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Wikidata QID: Q125936950
DOI: 10.3390/MATH6110259
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description: scientific article; zbMATH DE number 6994862