Hypersurfaces with harmonic curvature in a space of constant curvature

DOI10.2996/KMJ/1138037198zbMath0602.53016OpenAlexW2161192893MaRDI QIDQ1081837

Eriko Omachi

Publication date: 1986

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138037198

zbMATH Keywords

constant curvatureprincipal curvaturesisometric immersionharmonic curvaturesisoparametric hypersurfaceCodazzi tensor

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Related Items (3)

Yang-Mills theory and conjugate connections. ⋮ Ric-semisymmetric submanifolds ⋮ Unnamed Item

Cites Work

• Classification of certain compact Riemannian manifolds with harmonic curvature and non-parallel Ricci tensor
• Les variétés de dimension 4 à signature non nulle dont la courbure est harmonique sont d'Einstein
• A formula of Simons' type and hypersurfaces with constant mean curvature

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