常hessian曲率的hessian流形中统计子流形上的(2,2)不变量。
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.
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.
我们在具有恒定 Hessian 曲率的 Hessian 流形中的统计子流形上建立了关于不变量 δ(2, 2) 的陈不等式。最近，我们与陈合作，证明了此类子流形的一个陈第一不等式。本文作者之前已开始对具有恒定 Hessian 曲率的 Hessian 流形中的统计子流形进行研究；本文是该主题的一项进展。
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