Brice Flamencourt

activity

20242026

collaborators

9 papers

math.DG2026

Arithmetic structure of generalized Inoue--Bombieri manifolds

Brice Flamencourt, Abdelghani Zeghib

A Generalized Inoue--Bombieri (GIB) manifold $M$ is a compact quotient of a connected Riemannian product $R^{q} \times (N, g_{N})$ by a discrete subgroup of $\mathrm{Sim}(\mat…

math.DG2025

On the Inoue-Bombieri construction

Brice Flamencourt, Abdelghani Zeghib

We study compact quotients of a Riemannian product $R^{q} \times (N, g_{N})$ , where $(N, g_{N})$ is a complete Riemannian manifold, by discrete subgroups $I^$ of $\mathrm{Sim}(\…

math.DG2025

On foliations admitting a transverse similarity structure

Brice Flamencourt, Abdelghani Zeghib

We give a "conceptual" approach to Kourganoff's results about foliations with a transverse similarity structure. In particular, we give a proof, understandable by the targeted comm…

math.DG2025

Weyl structures with special holonomy on compact conformal manifolds

Florin Belgun, Brice Flamencourt, Andrei Moroianu

We consider compact conformal manifolds $(M, [g])$ endowed with a closed Weyl structure $\nabla$ , i.e. a torsion-free connection preserving the conformal structure, which is locally…

math.DG2025

Flat degenerate metrics and Riemannian foliations

Brice Flamencourt

Bandyopadhyay, Dacorogna, Matveev and Troyanov conjectured that a closed manifold admitting a flat, non-negative definite metric of constant rank $m$ should be finitely covered by…

math.DG2024

Conformal vector fields on LCP manifolds

Brice Flamencourt, Andrei Moroianu

We show that conformal vector fields on compact locally conformally product manifolds are orthogonal to the flat distribution and Killing with respect to the Gauduchon metric.