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arXiv · 1412.7549

Pestov's Identity on frame bundles and applications

Michela Egidi
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Abstract

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 $P^kM$ of $k$-frames. Finally, we discuss a dynamical application for the parallel transport on $\mathcal{G}_{or}^k(M)$, the Grassmannian of oriented $k$-planes of $M$.

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Michela Egidi. 2014-12-23. Pestov's Identity on frame bundles and applications. https://arxiv.org/abs/1412.7549

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