When are the tangent sphere bundles of a Riemannian manifold reducible?

DOI10.1090/S0002-9947-03-03289-6zbMath1033.53013WikidataQ115289108 ScholiaQ115289108MaRDI QIDQ4806463

Eric Boeckx

Publication date: 14 May 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

reducibilitySasaki metricfoliationstangent sphere bundleClifford structures

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12) Local Riemannian geometry (53B20)

Related Items (5)

\(H\)-contact unit tangent sphere bundles ⋮ Naturality of homogeneous metrics on stiefel manifolds \(SO(m + 1)/SO(m - 1)\) ⋮ When is the unit tangent sphere bundle semi-symmetric? ⋮ When are the tangent sphere bundles of a Riemannian manifold \(\eta\)-Einstein? ⋮ η-EINSTEIN TANGENT SPHERE BUNDLES OF CONSTANT RADII

Cites Work

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• Generalized Heisenberg groups and Damek-Ricci harmonic spaces
• Harmonic and minimal vector fields on tangent and unit tangent bundles
• On tangent sphere bundles with small or large constant radius
• When is the unit tangent sphere bundle semi-symmetric?
• Clifford modules
• Sur la réductibilité d'un espace de Riemann
• Geodesics on the unit tangent bundle

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