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Pestov's identity on frame bundles and applications

Published online by Cambridge University Press:  29 April 2016

MICHELA EGIDI
Affiliation:
Fakultät für Mathematik, Technische Universität Chemnitz, Chemnitz, Germany. e-mail: michela.egidi@mathematik.tu-chemnitz.de
Corresponding

Abstract

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

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 2016 

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