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

We establish Chen inequality for the invariant [Formula: see text] 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...

Descripción completa

Detalles Bibliográficos
Autores principales: Mihai, Adela, Mihai, Ion
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7516581/
https://www.ncbi.nlm.nih.gov/pubmed/33285939
http://dx.doi.org/10.3390/e22020164
Descripción
Sumario:We establish Chen inequality for the invariant [Formula: see text] 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.

Ejemplares similares