Notes on tangent sphere bundles of constant radii
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We show that the Riemannian geometry of a tangent sphere bundle of a Riemannian manifold (M,g) of constant radius r reduces essentially to the one of unit tangent sphere bundle of a Riemannian manifold equipped with the respective induced Sasaki metrics. Further, we provide some applications of this theorem on the η-Einstein tangent sphere bundles and certain related topics to the tangent sphere bundles.
Abstract
We show that the Riemannian geometry of a tangent sphere bundle of a Riemannian manifold (M,g) of constant radius r reduces essentially to the one of unit tangent sphere bundle of a Riemannian manifold equipped with the respective induced Sasaki metrics. Further, we provide some applications of this theorem on the η-Einstein tangent sphere bundles and certain related topics to the tangent sphere bundles.
참고문헌 (11)
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