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

Adela Mihai and Ion Mihai
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Adela Mihai: Department of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, 020396 Bucharest, Romania
Ion Mihai: Department of Mathematics, Faculty of Mathematics and Computer Science, University of Bucharest, 010014 Bucharest, Romania

Mathematics, 2018, vol. 6, issue 3, 1-8

Abstract: 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.

Keywords: statistical manifolds; Hessian manifolds; Hessian sectional curvature; scalar curvature; Ricci curvature (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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