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On the Curature of the Tangent Bundle

Annali Di Matematica Pura Ed Applicata, 1969
The tangent bundle is regarded as an almost product manifold. Connections adapted to this structure are introduced. Use is made of the theory of submersions,
E T Davies
exaly   +2 more sources

Riemannian Metrics on Tangent Bundles

Annali Di Matematica Pura Ed Applicata, 1988
Given 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 ...
F Tricerri
exaly   +4 more sources

Extending Tangent Bundles by an Algebra Bundle

Iranian Journal of Science and Technology, Transactions A: Science, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feizabadi, Hassan, Boroojerdian, Naser
openaire   +1 more source

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