Curvature Invariants for Statistical Submanifolds of Hessian Manifolds of Constant Hessian Curvature

Curvature Invariants for Statistical Submanifolds of Hessian Manifolds of Constant Hessian Curvature

We consider statistical submanifolds of Hessian manifolds of constant Hessian curvature. For such submanifolds we establish a Euler inequality and a Chen-Ricci inequality with respect to a sectional curvature of the ambient Hessian manifold.

Bibliographic Details
Main Authors: Adela Mihai, Ion Mihai
Format: Article
Language:English
Published: MDPI AG 2018-03-01
Series:Mathematics
Subjects:
statistical manifolds
Hessian manifolds
Hessian sectional curvature
scalar curvature
Ricci curvature
Online Access:http://www.mdpi.com/2227-7390/6/3/44

Internet

http://www.mdpi.com/2227-7390/6/3/44

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