Manifolds whose curvature operator has constant eigenvalues at the basepoint

DOI10.1007/BF02921544zbMath0797.53010MaRDI QIDQ1329631

Peter B. Gilkey

Publication date: 25 October 1994

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

examplesJacobi operatorOsserman conjectureClifford modulesconstant eigenvalues

Mathematics Subject Classification ID

Local Riemannian geometry (53B20)

Related Items (17)

The proportionality principle for Osserman manifolds ⋮ Osserman pseudo-Riemannian manifolds of signature (2,2) ⋮ On a problem of Osserman in Lorentzian geometry ⋮ On quasi-Clifford Osserman curvature tensors ⋮ Conformally Osserman four-dimensional manifolds whose conformal Jacobi operators have complex eigenvalues ⋮ Two theorems on Osserman manifolds. ⋮ Almost isotropic Kähler manifolds ⋮ Four-dimensional pointwise Osserman manifolds ⋮ Generalized Osserman manifolds ⋮ Osserman conjecture in dimension \(n \not= 8, 16\) ⋮ Algebraic curvature tensors which are \(p\)-Osserman ⋮ The Jordan normal form of Osserman algebraic curvature tensors ⋮ Almost Hermitian manifolds and Osserman condition ⋮ Foliation of a dynamically homogeneous neutral manifold ⋮ Pseudo Riemannian manifolds whose generalized Jacobi operator has constant characteristic polynomial ⋮ Manifolds whose higher odd order curvature operators have constant eigenvalues at the basepoint ⋮ ON THE RIEMANN CURVATURE OPERATORS IN RANDERS SPACES

Cites Work

• A curvature characterization of certain locally rank-one symmetric spaces
• Clifford modules
• Curvature in the Eighties
• Vector fields on spheres

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