Sasakian structures on tangent sphere bundles of compact rank-one symmetric spaces

DOI10.1007/s00009-022-02120-4zbMath1503.53112arXiv2105.01461OpenAlexW4295066830WikidataQ114232211 ScholiaQ114232211MaRDI QIDQ2675964

José Carmelo González-Dávila

Publication date: 26 September 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.01461

zbMATH Keywords

compact rank-one symmetric spacestangent sphere bundlesSasakian structuresrestricted rootsprojective Stiefel manifolds

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Contact manifolds (general theory) (53D10) Differential geometry of symmetric spaces (53C35)

Related Items (1)

Invariant contact metric structures on tangent sphere bundles of compact symmetric spaces

Cites Work

• \(g\)-natural contact metrics on unit tangent sphere bundles
• Riemannian metrics on tangent bundles
• Unit tangent sphere boundles and two-point homogeneous spaces
• Harmonic and minimal vector fields on tangent and unit tangent bundles
• On tangent sphere bundles with small or large constant radius
• On contact structures of tangent sphere bundles
• On the almost-complex structure of tangent bundles of Riemannian spaces
• Unit Tangent Sphere Bundles with Constant Scalar Curvature
• Invariant Affine Connections on Homogeneous Spaces
• Riemannian geometry of contact and symplectic manifolds
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