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arXiv 2014-12-23 0 views

Pestov's Identity on frame bundles and applications

Egidi, Michela

Original · EN

In this article we lift Pestov's Identity on the tangent bundle of a Riemannian manifold M to the bundle of k-tuples of tangent vectors. We also derive an integrated version and a restriction to the frame bundle PᵏM of k-frames. Finally, we discuss a dynamical application for the parallel transport on Gorᵏ(M), the Grassmannian of oriented k-planes of M.

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