A Class of Riemannian Manifolds Satisfying R(X ,Y)·R = 0

DOI10.1017/S0027763000014240zbMath0193.22002OpenAlexW1508186693WikidataQ115336437 ScholiaQ115336437MaRDI QIDQ5588373

Shukichi Tanno

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1017/s0027763000014240

zbMATH Keywords

warped productRiemannian curvature tensorlocally symmetric Riemannian manifold

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (5)

Unnamed Item ⋮ On the Riemannian manifolds of the form $B\times_{f}F$ ⋮ Ric-semisymmetric submanifolds ⋮ Warped products with special Riemannian curvature ⋮ On the \(k\)-th nullity space of the Riemannian curvature tensor

Cites Work

• On the transitivity of holonomy systems
• On hypersurfaces satisfying a certain condition on the curvature tensor
• Sufficient conditions for a Riemannian manifold to be locally symmetric
• Some hypersurfaces of a sphere
• Transformation groups of spheres
• A THEOREM ON CURVATURE TENSOR FIELDS

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