Brice Flamencourt

activity

20192026

most citedThe characteristic group of locally conformally product structures

1 citations · 1 across the 4 of their papers we have counts for

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 $Γ$ of $\mathrm{Sim}(\m…

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.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.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.

math.DG2024

On decomposable LCP structures

Brice Flamencourt, Andrei Moroianu

We introduce the notion of decomposable locally conformally product (LCP) manifolds and characterize those which are defined on quotients of Riemannian Lie groups by co-compact lat…