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- State University of New YorkUS191 papers
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4 papers · 2 filters
On Optimal 4-Dimensional Metrics
Claude LeBrun, Bernard Maskit
We completely determine, up to homeomorphism, which simply connected compact oriented 4-manifolds admit scalar-flat, anti-self-dual Riemannian metrics. The key new ingredient is a…
The Complex Frobenius Theorem for Rough Involutive Structures
C. Denson Hill, Michael Taylor
We establish a version of the complex Frobenius theorem in the context of a complex subbundle S of the complexified tangent bundle of a manifold, having minimal regularity. If the…
Unique continuation results for Ricci curvature and applications
Michael T. Anderson, Marc Herzlich
Unique continuation results are proved for metrics with prescribed Ricci curvature in the setting of bounded metrics on compact manifolds with boundary, and in the setting of compl…
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 $…