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arXiv · 2511.14556

The Pestov identity on the frame bundle and associated homogeneous fibrations

Mihajlo Cekić·Thibault Lefeuvre·Andrei Moroianu·Uwe Semmelmann
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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.

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Mihajlo Cekić, Thibault Lefeuvre, Andrei Moroianu, Uwe Semmelmann. 2025-11-18. The Pestov identity on the frame bundle and associated homogeneous fibrations. https://arxiv.org/abs/2511.14556

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