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3 papers · 1 filter
math.DG2007
Integrability of Rough Almost Complex Structures
C. Denson Hill, Michael Taylor
We extend the Newlander-Nirenberg theorem to manifolds with almost complex structures that have somewhat less than Lipschitz regularity. We also discuss the regularity of local hol…
math.DG2007★ 17 cited
Eigenvalues of the Laplacian under the Ricci Flow
Luca Fabrizio Di Cerbo
We derive, under a technical assumption, the first variation formula for the eigenvalues of the Laplacian on a closed manifold evolving by the Ricci flow and give some applications…
math.DG2005★ 2 cited
Nonlinear Gravitons, Null Geodesics, and Holomorphic Disks
Claude LeBrun, L. J. Mason
We develop a global twistor correspondence for pseudo-Riemannian conformal structures of signature (++--) with self-dual Weyl curvature. Near the conformal class of the standard in…