The Pestov identity on the frame bundle and associated homogeneous fibrations
Differential Geometry
2025-11-19 v1 Dynamical Systems
Abstract
In this short note, we prove a global Pestov identity on the (orthonormal) frame bundle of a Riemannian manifold and deduce similar identities on associated homogeneous fibrations. As a particular example, this provides a concise proof of the Pestov identity on the unit tangent bundle of the manifold.
Cite
@article{arxiv.2511.14556,
title = {The Pestov identity on the frame bundle and associated homogeneous fibrations},
author = {Mihajlo Cekić and Thibault Lefeuvre and Andrei Moroianu and Uwe Semmelmann},
journal= {arXiv preprint arXiv:2511.14556},
year = {2025}
}
Comments
14 pages