The Pestov identity on the frame bundle and associated homogeneous fibrations
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912716477693952 |
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| author | Cekić, Mihajlo Lefeuvre, Thibault Moroianu, Andrei Semmelmann, Uwe |
| author_facet | Cekić, Mihajlo Lefeuvre, Thibault Moroianu, Andrei Semmelmann, Uwe |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14556 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Pestov identity on the frame bundle and associated homogeneous fibrations Cekić, Mihajlo Lefeuvre, Thibault Moroianu, Andrei Semmelmann, Uwe Differential Geometry Dynamical Systems 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. |
| title | The Pestov identity on the frame bundle and associated homogeneous fibrations |
| topic | Differential Geometry Dynamical Systems |
| url | https://arxiv.org/abs/2511.14556 |