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Riemannian metrics on tangent bundles
Annali di Matematica Pura ed Applicata, 1988Given a Riemannian manifold M, the tangent bundle TM and its sphere subbundle \(T_ 1M\) are studied as Riemannian manifolds equipped with the Sasaki metrics. Unlike most literature about this topics, the authors use Cartan's method of moving frames. They construct a natural class of metrics on TM containing the Sasaki metric and also a complete metric ...
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