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

作者信息

Mihai Adela, Mihai Ion

机构信息

Department of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, 020396 Bucharest, Romania.

Department of Mathematics, Faculty of Mathematics and Computer Science, University of Bucharest, 010014 Bucharest, Romania.

出版信息

Entropy (Basel). 2020 Jan 31;22(2):164. doi: 10.3390/e22020164.

Abstract

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.

摘要

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