A Note on Pseudo-Umbilical Submanifolds of Hessian Manifolds with Constant Hessian Sectional Curvature
Copyright policy )A Note on Pseudo-Umbilical Submanifolds of Hessian Manifolds with Constant Hessian Sectional Curvature
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.
- Fırat University Turkey
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Local Riemannian geometry, Hessian manifold, Hessian sectional curvature, curvature conditions
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Local Riemannian geometry, Hessian manifold, Hessian sectional curvature, curvature conditions
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