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

DOI10.1007/s13398-023-01475-xzbMath1527.53053arXiv2306.11356MaRDI QIDQ6137728

José Carmelo González-Dávila

Publication date: 4 September 2023

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.11356

zbMATH Keywords

tangent sphere bundlescontact metric structuresrestricted rootssymmetric spaces of compact type

Mathematics Subject Classification ID

Contact manifolds (general theory) (53D10) Differential geometry of symmetric spaces (53C35)

Cites Work

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• Totally geodesic submanifolds of the exceptional Riemannian symmetric spaces of rank 2
• \(g\)-natural contact metrics on unit tangent sphere bundles
• Harmonic and minimal vector fields on tangent and unit tangent bundles
• On contact structures of tangent sphere bundles
• On the almost-complex structure of tangent bundles of Riemannian spaces
• Sasakian structures on tangent sphere bundles of compact rank-one symmetric spaces
• Unit Tangent Sphere Bundles with Constant Scalar Curvature
• Totally geodesic submanifolds of the complex and the quaternionic 2-Grassmannians
• Adapted complex structures and Riemannian homogeneous spaces
• Invariant Affine Connections on Homogeneous Spaces
• Riemannian geometry of contact and symplectic manifolds

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