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.
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2018-03-01
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Series: | Mathematics |
Subjects: | |
Online Access: | http://www.mdpi.com/2227-7390/6/3/44 |
Summary: | 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. |
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ISSN: | 2227-7390 |