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4 papers · 2 filters
Intrinsic geometry of oriented congruences in three dimensions
C Denson Hill, Pawel Nurowski
Starting from the classical notion of an oriented congruence (i.e. a foliation by oriented curves) in , we abstract the notion of an oriented congruence structure. This is a 3…
A gap property for the growth of closed 3-manifold groups
Luca Fabrizio Di Cerbo
We provide a lower bound for the uniform exponential growth rate of closed nonflat nonpositively curved 3-manifold groups. A detailed study of the uniform exponential growth rate o…
The Einstein-Weyl Equations, Scattering Maps, and Holomorphic Disks
Claude LeBrun, L. J. Mason
We show that conformally compact, globally hyperbolic, Lorentzian Einstein-Weyl 3-manifolds are in natural one-to-one correspondence with orientation-reversing diffeomorphisms of t…
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…