Negatively curved homogeneous Osserman spaces

DOI10.1016/S0926-2245(99)00032-7zbMath0970.53031WikidataQ115337406 ScholiaQ115337406MaRDI QIDQ1807645

Maria J. Druetta, Isabel G. Dotti

Publication date: 14 October 2001

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

zbMATH Keywords

curvature operatornonpositive curvaturesolvable Lie grouphomogeneous manifoldOsserman conditionIwasawa type

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Nilpotent and solvable Lie groups (22E25)

Related Items (5)

On harmonic and 2-stein spaces of Iwasawa type. ⋮ Algebraic curvature tensors which are \(p\)-Osserman ⋮ The Jordan normal form of Osserman algebraic curvature tensors ⋮ Pseudo Riemannian manifolds whose generalized Jacobi operator has constant characteristic polynomial ⋮ Carnot spaces and the k-stein condition

Cites Work

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• Geometry of $2$-step nilpotent groups with a left invariant metric
• On the curvature of certain extensions of $H$-type groups
• ISOPARAMETRIC GEODESIC SPHERES AND A CONJECTURE OF OSSERMAN CONCERNING THE JACOBI OPERATOR

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