When are the tangent sphere bundles of a Riemannian manifold \(\eta\)-Einstein?

DOI10.1007/s10455-009-9160-1zbMath1183.53039OpenAlexW2087974899WikidataQ115384663 ScholiaQ115384663MaRDI QIDQ735012

D. Kharzeev

Publication date: 14 October 2009

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-009-9160-1

zbMATH Keywords

tangent sphere bundlecontact metric structure\(\eta \)-Einstein manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Contact manifolds (general theory) (53D10)

Related Items (4)

Weakly \(\eta\)-Einstein contact manifolds ⋮ Spectral geometry of eta-Einstein Sasakian manifolds ⋮ Tangent sphere bundles with constant trace of the Jacobi operator ⋮ H-CONTACT UNIT TANGENT SPHERE BUNDLES OF FOUR-DIMENSIONAL RIEMANNIAN MANIFOLDS

Cites Work

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• Remarks on \(\eta\)-Einstein unit tangent bundles
• Curvatures of tangent bundles with Cheeger-Gromoll metric
• On tangent sphere bundles with small or large constant radius
• \(H\)-contact unit tangent sphere bundles
• Unit Tangent Sphere Bundles with Constant Scalar Curvature
• NOTES ON TANGENT SPHERE BUNDLES OF CONSTANT RADII
• Differential geometry of geodesic spheres.
• When are the tangent sphere bundles of a Riemannian manifold reducible?
• Riemannian geometry of contact and symplectic manifolds

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