Romain Gicquaud

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20122026

most citedA non-existence result for a generalization of the equations of the conformal method in general relativity

2 citations · 2 across the 5 of their papers we have counts for

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math.AP2025

A note on Poincaré-Sobolev type inequalities on compact manifolds

Romain Gicquaud

We prove a Poincaré-Sobolev type inequality on compact Riemannian manifolds where the deviation of a function from a biased average, defined using a density, is controlled by the u…

math.AP2018

Solutions to the Einstein constraint equations with a small TT-tensor and vanishing Yamabe invariant

Romain Gicquaud

In this note we prove an existence result for the Einstein conformal constraint equations for metrics with vanishing Yamabe invariant assuming that the TT-tensor is small in $L^{2}$ .