Inequalities on Sasakian Statistical Manifolds in Terms of Casorati Curvatures

Chul Woo Lee and Jae Won Lee
Additional contact information
Chul Woo Lee: Department of Mathematics, Kyungpook National University, Daegu 41566, Korea
Jae Won Lee: Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 52828, Korea

Mathematics, 2018, vol. 6, issue 11, 1-10

Abstract: 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 ∇ and ∇ * 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 φ -sectional curvature. In addition, we give examples to show that the total space is a sphere.

Keywords: Sasakian statistical manifold; conjugate connection; Casorati curvature (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/6/11/259/pdf (application/pdf)
https://www.mdpi.com/2227-7390/6/11/259/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:6:y:2018:i:11:p:259-:d:183603

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().