Four-dimensional pointwise Osserman manifolds

DOI10.1007/BF02942546zbMath0980.53058MaRDI QIDQ1969640

Groszio Stanilov, Veselin T. Videv

Publication date: 19 March 2000

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

zbMATH Keywords

Riemannian manifoldconstant curvatureEinstein manifoldspointwise Osserman

Mathematics Subject Classification ID

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

Related Items

Classification of some geometric structures on 4-dimensional Riemannian Lie group ⋮ Generalized Osserman manifolds ⋮ Algebraic curvature tensors which are \(p\)-Osserman ⋮ Pseudo Riemannian manifolds whose generalized Jacobi operator has constant characteristic polynomial

Cites Work

• Quaternionic Kaehler manifolds and a curvature characterization of two- point homogeneous spaces
• A curvature characterization of certain locally rank-one symmetric spaces
• Curvature characterization and classification of rank-one symmetric spaces
• Manifolds whose curvature operator has constant eigenvalues at the basepoint
• Volume-preserving geodesic symmetries on four-dimensional 2-Stein spaces
• Curvature in the Eighties
• ISOPARAMETRIC GEODESIC SPHERES AND A CONJECTURE OF OSSERMAN CONCERNING THE JACOBI OPERATOR
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