Abstract
For a Riemannian manifold M, we determine somecurvature properties of a tangent sphere bundleT r M endowed with the induced Sasaki metric in the case when the constantradius r > 0 of the tangent spheres is either sufficientlysmall or sufficiently large.
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Kowalski, O., Sekizawa, M. On Tangent Sphere Bundles with Small or Large Constant Radius. Annals of Global Analysis and Geometry 18, 207–219 (2000). https://doi.org/10.1023/A:1006707521207
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DOI: https://doi.org/10.1023/A:1006707521207