Generalized Osserman manifolds

DOI10.1007/BF02942557zbMath0980.53059MaRDI QIDQ1969641

Peter B. Gilkey

Publication date: 19 March 2000

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

Riemannian manifoldEinstein manifoldJacobi operatorpointwise Osserman manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items

Radion effective potential in the brane-world ⋮ Algebraic curvature tensors which are \(p\)-Osserman ⋮ Pseudo Riemannian manifolds whose generalized Jacobi operator has constant characteristic polynomial

Cites Work

• A curvature characterization of certain locally rank-one symmetric spaces
• Manifolds whose curvature operator has constant eigenvalues at the basepoint
• On a problem of Osserman in Lorentzian geometry
• Four-dimensional pointwise Osserman manifolds
• Curvature in the Eighties
• Osserman pseudo-Riemannian manifolds of signature (2,2)
• ISOPARAMETRIC GEODESIC SPHERES AND A CONJECTURE OF OSSERMAN CONCERNING THE JACOBI OPERATOR
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