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Pestov's identity on frame bundles and applications

Published online by Cambridge University Press:  29 April 2016

MICHELA EGIDI
MICHELA EGIDI*
Affiliation:
Fakultät für Mathematik, Technische Universität Chemnitz, Chemnitz, Germany. e-mail: michela.egidi@mathematik.tu-chemnitz.de
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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 PkM 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
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 161 , Issue 2 , September 2016 , pp. 357 - 377
Copyright
Copyright © Cambridge Philosophical Society 2016 

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