Algebraic curvature tensors which are \(p\)-Osserman

DOI10.1016/S0926-2245(01)00040-7zbMath1031.53034WikidataQ115338302 ScholiaQ115338302MaRDI QIDQ5946130

Peter B. Gilkey

Publication date: 7 March 2004

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

\(p\)-Ossermanalgebraic curvature tensorRakić duality

Mathematics Subject Classification ID

Local Riemannian geometry (53B20) Differential invariants (local theory), geometric objects (53A55)

Related Items (3)

Complex Osserman Kähler manifolds in dimension four ⋮ Equivalence between the Osserman condition and the Rakić duality principle in dimension 4 ⋮ Osserman conjecture in dimension \(n \not= 8, 16\)

Cites Work

• A curvature characterization of certain locally rank-one symmetric spaces
• On duality principle in Osserman manifolds
• Pseudo Riemannian manifolds whose generalized Jacobi operator has constant characteristic polynomial
• Continuous variation of eigenvalues and Gårding's inequality
• Manifolds whose curvature operator has constant eigenvalues at the basepoint
• Negatively curved homogeneous Osserman spaces
• Four-dimensional pointwise Osserman manifolds
• Generalized Osserman manifolds
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Curvature in the Eighties
• Curvature Tensors on Almost Hermitian Manifolds
• ISOPARAMETRIC GEODESIC SPHERES AND A CONJECTURE OF OSSERMAN CONCERNING THE JACOBI OPERATOR
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