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On Tangent Sphere Bundles with Small or Large Constant Radius |
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| Authors: | Oldřich Kowalski Masami Sekizawa |
| Affiliation: | (1) Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Prague 8, Czech Republic;(2) Tokyo Gakugei University, Koganei-shi Nukuikita-machi 4–1–1, Tokyo, 184–8501, Japan |
| Abstract: | For a Riemannian manifold M, we determine somecurvature properties of a tangent sphere bundleTrM endowed with the induced Sasaki metric in the case when the constantradius r > 0 of the tangent spheres is either sufficientlysmall or sufficiently large. |
| Keywords: | Riemannian manifold Riemannian submersion Sasaki metric tangent sphere bundle |
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