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Curvature Invariants for Statistical Submanifolds of Hessian Manifolds of Constant Hessian Curvature
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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.
Title: Curvature Invariants for Statistical Submanifolds of Hessian Manifolds of Constant Hessian Curvature
Description:
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.
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