Unit tangent sphere boundles and two-point homogeneous spaces

DOI10.1023/A:1004629423529zbMath0924.53014MaRDI QIDQ1307329

Lieven Vanhecke, Eric Boeckx, Domenico Perrone

Publication date: 31 October 1999

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

contact metric manifoldsOsserman spacestwo point homogeneous spaces

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local Riemannian geometry (53B20)

Related Items (12)

Some non-compactness results for locally homogeneous contact metric manifolds ⋮ Unnamed Item ⋮ Sasakian structures on tangent sphere bundles of compact rank-one symmetric spaces ⋮ Unnamed Item ⋮ Contact pseudo-metric manifolds of constant curvature and CR geometry ⋮ Paracontact metric structures on the unit tangent sphere bundle ⋮ Naturality of homogeneous metrics on stiefel manifolds \(SO(m + 1)/SO(m - 1)\) ⋮ HOMOGENEOUS AND H-CONTACT UNIT TANGENT SPHERE BUNDLES ⋮ Tangent sphere bundles with constant trace of the Jacobi operator ⋮ When is the unit tangent sphere bundle semi-symmetric? ⋮ \(g\)-natural contact metrics on unit tangent sphere bundles ⋮ Torsion and homogeneity on contact metric three-manifolds

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