3 papers
math.DG2007
Minimal tori with low nullity
David L. Johnson, Oscar Perdomo
The nullity of a minimal submanifold is the dimension of the nullspace of the second variation of the area functional. That space contains as a subspace the effect…
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…