The Pestov Identity on the Frame Bundle and Associated Homogeneous Fibrations
ABSTRACT 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.
Authors
- Mihajlo Cekić (ORCID: https://orcid.org/0000-0002-7565-4127)
- Uwe Semmelmann (ORCID: https://orcid.org/0000-0002-1226-2660)
- Thibault Lefeuvre (ORCID: https://orcid.org/0000-0002-7916-9209)
- Andrei Moroianu (ORCID: https://orcid.org/0000-0002-9799-1036)
Institutions
- University of Stuttgart (DE)
- Centre National de la Recherche Scientifique (FR)
- Université Paris-Saclay (FR)
- Laboratoire de Mathématiques d'Orsay (FR)
- Laboratoire d’Analyse et de Mathématiques Appliquées (FR)
- Romanian Academy (RO)
Publication Details
- Journal
- Mathematische Nachrichten
- Published
- 2026-05-27
- DOI
- https://doi.org/10.1002/mana.70167
- Primary Topic
- Advanced Differential Geometry Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- European Research Council