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math.DG2005
Filtered ends, proper holomorphic mappings of Kahler manifolds to Riemann surfaces, and Kahler groups
Terrence Napier, Mohan Ramachandran
The main goal of this paper is to prove that a connected bounded geometry complete Kahler manifold which has at least 3 filtered ends admits a proper holomorphic mapping onto a Rie…
math.DG2005
Regularity of volume-minimizing flows on 3-manifolds
David L. Johnson, Penelope Smith
In this article, we show that, for any compact 3-manifold, there is a volume-minimizing one-dimensional foliation. More generally, we show the existence of mass-minimizing…
math.DG2004
Volume-minimizing foliations on spheres
Fabiano Brito, David L. Johnson
The volume of a k-dimensional foliation in a Riemannian manifold is defined as the mass of image of the Gauss map, which is a map from M to the Grassmann bund…