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

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 15 Mar 2018 English Publisher:MDPI AGJournal:Mathematics, volume 6, page 44 (eissn: 2227-7390,

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Authors: Adela Mihai; Ion Mihai;

doi: 10.3390/math6030044

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

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Abstract

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.

Related Organizations

University of Bucharest
Romania
Technical University of Civil Engineering of Bucharest
Romania

Keywords

Ricci curvature, statistical manifolds, Global submanifolds, Hessian manifolds, Hessian sectional curvature, QA1-939, scalar curvature, Mathematics, Connections (general theory)

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