Affine hypersurfaces with the Ricci semi-symmetry

DOI10.1007/BF03323016zbMath1075.53049MaRDI QIDQ1781911

Yoshio Matsuyama

Publication date: 9 June 2005

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Ricci symmetryaffine cylinderinduced connection of a Blaschke immersionRicci semi-symmetry

Mathematics Subject Classification ID

Global submanifolds (53C40) Linear and affine connections (53B05) Affine differential geometry (53A15)

Cites Work

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• Classification of certain compact Riemannian manifolds with harmonic curvature and non-parallel Ricci tensor
• On hypersurfaces satisfying a certain condition on the curvature tensor
• Hypersurfaces satisfying a certain condition on the Ricci tensor
• Hypersurfaces with parallel Ricci tensor
• An example of Riemannian manifolds satisfying \(R(X,Y)\cdot R=0\) but not \(\nabla R=0\).
• Locally Symmetric Affine Hypersurfaces
• Complete Hypersurfaces with RS = 0 In E n+1
• Affine surfaces with parallel shape operators

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