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A Note on Pseudo-Umbilical Submanifolds of Hessian Manifolds with Constant Hessian Sectional Curvature
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The geometry of Hessian manifold, as a branch of statistics,
physics, Kaehlerian, and affine differential geometry, is deeply fruitful and a
new field for scientists. However, inspite of its importance submanifolds and
curvature conditions of it have not been so well known yet. In this paper, we
focus on the pseudo-umbilical submanifolds on Hessian manifold with constant
Hessian sectional curvature and using sectional curvature conditions we obtain
new results on it.
Title: A Note on Pseudo-Umbilical Submanifolds of Hessian Manifolds with Constant Hessian Sectional Curvature
Description:
The geometry of Hessian manifold, as a branch of statistics,
physics, Kaehlerian, and affine differential geometry, is deeply fruitful and a
new field for scientists.
However, inspite of its importance submanifolds and
curvature conditions of it have not been so well known yet.
In this paper, we
focus on the pseudo-umbilical submanifolds on Hessian manifold with constant
Hessian sectional curvature and using sectional curvature conditions we obtain
new results on it.
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