The δ (2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature

The δ (2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature

We establish Chen inequality for the invariant δ ( 2 , 2 ) on statistical submanifolds in Hessian manifolds of constant Hessian curvature. Recently, in co-operation with Chen, we proved a Chen first inequality for such submanifolds. The present authors previously initiated the investigation of stati...

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Veröffentlicht in:Entropy (Basel, Switzerland) Switzerland), 2020-01, Vol.22 (2), p.164
Hauptverfasser: Mihai, Adela, Mihai, Ion
Format: Artikel
Sprache:eng
Schlagworte:
chen inequality
hessian manifolds
hessian sectional curvature
ricci curvature
scalar curvature
statistical manifolds
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Zusammenfassung:We establish Chen inequality for the invariant δ ( 2 , 2 ) on statistical submanifolds in Hessian manifolds of constant Hessian curvature. Recently, in co-operation with Chen, we proved a Chen first inequality for such submanifolds. The present authors previously initiated the investigation of statistical submanifolds in Hessian manifolds of constant Hessian curvature; this paper represents a development in this topic.
ISSN:1099-4300
1099-4300
DOI:10.3390/e22020164