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I am currently a post-doc at the École Normale Supérieure de Lyon, Unité de Mahématiques Pures et Appliquées (UMPA), in the team Géométrie, Groupes et Dynamique.Between 2022 and 2024, I worked as a post-doctoral fellow at the Institut für Geometrie und Topologie, Universität Stuttgart.
Research areas: Conformal geometry, Weyl structures, LCP manifolds, Spin geometry, Cauchy spinors, Spectral analysis, Spectral geometry.
Publications
Published Articles:
- On decomposable LCP structures (with Andrei Moroianu). [pdf],
[arxiv]
Geometriae Dedicata, 219, 11 (2025). - The characteristic group of conformally product structures. [pdf], [arxiv]
Annali di Matematica Pura ed Applicata, DOI: 10.1007/s10231-024-01479-3 (2024). - Locally conformally product structures. [pdf], [arxiv]
International Journal of Mathematics, 35 (5), 2450013 (2024). - Torsion-free connections on G-structures. [pdf], [arxiv]
Differential Geometry and its Applications, 91, 102075 (2023). - Cauchy Spinors on 3-Manifolds (with Sergiu Moroianu). [pdf], [arxiv]
Journal of Geometric Analysis, 32, 186 (2022). - A generalized MIT Bag operator on spin manifolds in the
non-relativistic limit. [pdf], [arxiv]
Journal of Geometry and Physics, 178, 104534 (2022). - Strong coupling asymptotics for δ-interactions supported by
curves with peaks (with Konstantin Pankrashkin). [pdf], [arxiv]
Journal of Mathematical Analysis and Application, 491, 124287 (2020). - On foliations admitting a transverse similarity structure (with Abdelghani Zeghib). [pdf], [arxiv:2501.04814].
- Conformal vector fields on LCP manifolds (with Andrei Moroianu). [pdf], [arxiv:2412.17060].
- Weyl structures with special holonomy on compact conformal manifolds (with Florin Belgun and Andrei Moroianu). [pdf], [arxiv:2305.06637].
Preprints:
Contact
Address: UMPA, ENS Lyon,
46, allée d'Itale, 69364 Lyon, France
46, allée d'Itale, 69364 Lyon, France
E-mail: brice.flamencourt@ens-lyon.fr