Codazzi tensors with two eigenvalue functions

DOI10.1090/S0002-9939-2013-11616-3zbMath1282.53013arXiv1111.7002MaRDI QIDQ2845475

Gabe Merton

Publication date: 30 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.7002

zbMATH Keywords

Riemannian manifoldCodazzi tensor

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Local Riemannian geometry (53B20)

Related Items (9)

A potential generalization of some canonical Riemannian metrics ⋮ Weakly-Einstein conditions over locally conformally flat Lorentzian three-manifolds ⋮ On symmetric Killing tensors and Codazzi tensors of ranks \(p \geq 2\) ⋮ Codazzi tensors and their space-times and cotton gravity ⋮ Structure of locally conformally flat manifolds satisfying some weakly-Einstein conditions ⋮ Three-dimensional manifolds with special Cotton tensor ⋮ On higher-order Codazzi tensors on complete Riemannian manifolds ⋮ Locally conformally flat weakly-Einstein manifolds ⋮ A note on Codazzi tensors

Cites Work

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• Les variétés de dimension 4 à signature non nulle dont la courbure est harmonique sont d'Einstein
• Krümmungsflächen von isometrischen Immersionen in Räume konstanter Krümmung
• Some decompositions of the space of symmetric tensors on a Riemannian manifolds
• Codazzi Tensor Fields, Curvature and Pontryagin Forms

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