9 citations · 17 across the 13 of their papers we have counts for
13 papers
Arithmetic structure of generalized Inoue--Bombieri manifolds
Brice Flamencourt, Abdelghani Zeghib
A Generalized Inoue--Bombieri (GIB) manifold is a compact quotient of a connected Riemannian product by a discrete subgroup of $\mathrm{Sim}(\mat…
On the Inoue-Bombieri construction
Brice Flamencourt, Abdelghani Zeghib
We study compact quotients of a Riemannian product , where is a complete Riemannian manifold, by discrete subgroups of $\mathrm{Sim}(\m…
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 should be finitely covered by…
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…
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.
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…
The characteristic group of locally conformally product structures
Brice Flamencourt
A compact manifold together with a Riemannian metric on its universal cover for which acts by similarities is called a similarity structure. In the case…
Weyl structures with special holonomy on compact conformal manifolds
Florin Belgun, Brice Flamencourt, Andrei Moroianu
We consider compact conformal manifolds endowed with a closed Weyl structure , i.e. a torsion-free connection preserving the conformal structure, which is locally…
Torsion-free connections on -structures
Brice Flamencourt
We prove that for a group , any -structure on a smooth manifold can be endowed with a torsion free connec…
Locally conformally product structures
Brice Flamencourt
A locally conformally product (LCP) structure on compact manifold is a conformal structure together with a closed, non-exact and non-flat Weyl connection with reducible…
Cauchy spinors on -manifolds
Brice Flamencourt, Sergiu Moroianu
Let be a spin -manifold carrying a parallel spinor and a hypersurface. The second fundamental form of the embedding induces a flat m…
A generalized MIT Bag operator on spin manifolds in the non-relativistic limit
Brice Flamencourt
We consider Dirac-like operators with piecewise constant mass terms on spin manifolds, and we study the behaviour of their spectra when the mass parameters become large. In several…
Strong coupling asymptotics for -interactions supported by curves with cusps
Brice Flamencourt, Konstantin Pankrashkin
Let be a simple closed curve which is smooth except at the origin, at which it has a power cusp and coincides with the curve for some . W…