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The curvature of the Sasaki metric of tangent sphere bundles

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Publication:1826147
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DOI10.1007/BF01098055zbMath0685.53039OpenAlexW2170204670WikidataQ125590672 ScholiaQ125590672MaRDI QIDQ1826147

Alexander Yampolsky

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf01098055


zbMATH Keywords

constant curvaturecurvaturetangent sphere bundleSasakian metricsectional


Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)


Related Items (2)

On the Geometry of Tangent Bundle and Unit Tangent Bundle with Deformed-Sasaki Metric ⋮ The standard CR structure on the unit tangent bundle



Cites Work

  • On the differential geometry of tangent bundles of Riemannian manifolds
  • On the differential geometry of tangent bundles of Riemannian manifolds. II
  • On the tangent sphere bundle of a 2-sphere
  • On the tangent sphere bundle of a Riemannian 2-manifold
  • Geodesics on the tangent sphere bundle of a Riemannian manifold
  • On the Geometry of the Tangent Bundle.
  • Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.


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