Statistical hypersurfaces in the space of Hessian curvature zero

DOI10.1016/j.difgeo.2011.04.012zbMath1225.53018OpenAlexW2065242578WikidataQ115356908 ScholiaQ115356908MaRDI QIDQ719822

Hitoshi Furuhata

Publication date: 12 October 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.04.012

zbMATH Keywords

statistical submanifoldHessian manifoldEinstein hypersurface

Mathematics Subject Classification ID

Rigidity results (53C24) Local submanifolds (53B25) Linear and affine connections (53B05)

Related Items (4)

Locally product-like statistical submersions ⋮ On lightlike geometry of indefinite Sasakian statistical manifolds ⋮ Toward differential geometry of statistical submanifolds ⋮ Wintgen inequality for statistical surfaces

Cites Work

• Hypersurfaces in statistical manifolds
• Hessian manifolds of nonpositive constant Hessian sectional curvature
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Statistical hypersurfaces in the space of Hessian curvature zero