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math.AP2007★ 2 cited
Curvature flows on four manifolds with boundary
Cheikh Birahim Ndiaye
Given a compact four dimensional smooth Riemannian manifold with smooth boundary, we consider the evolution equation by -curvature in the interior keeping the -curvat…
math.AP2007★ 3 cited
Constant T-curvature conformal metrics on 4-manifolds with boundary
Cheikh Birahim Ndiaye
In this paper we prove that, given a compact four dimensional smooth Riemannian manifold (M,g) with smooth boundary there exists a metric conformal to g with constant T-curvature,…
math.AP2007
Existence results for mean field equations with turbulence
Cheikh Birahim Ndiaye
In this paper we consider the following form of the so-called Mean field equation arising from the statistical mechanics description of two dimensional turbulence \begin{equation}\…