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

Mathematics

Adela Mihai¹  Ion Mihai² 

[1] 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;

关键词: statistical manifolds;    Hessian manifolds;    Hessian sectional curvature;    scalar curvature;    Ricci curvature;   

DOI  :  10.3390/math6030044

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown