26 citations · 31 across the 3 of their papers we have counts for
3 papers
math.DG2008
Convergence of compact Ricci solitons
Brian Weber
We show that sequences of compact gradient Ricci solitons converge to complete orbifold gradient solitons, assuming constraints on volume, the -norm of curvature, and the…
math.DG2007★ 5 cited
Moduli spaces of critical Riemannian metrics with L^{n/2} norm curvature bounds
Xiuxiong Chen, Brian Weber
We consider the moduli space of the extremal Kähler metrics on compact manifolds. We show that under the conditions of two-sided total volume bounds, -norm bounds on $…
math.DG2007★ 26 cited
On Conformally Kaehler, Einstein Manifolds
Xiuxiong Chen, Claude LeBrun, Brian Weber
We prove that any compact complex surface with positive first Chern class admits an Einstein metric which is conformally related to a Kaehler metric. The key new ingredient is the…