pith. sign in

arxiv: math/0405564 · v1 · submitted 2004-05-28 · 🧮 math.DG

Constant mean curvature hypersurfaces condensing along a submanifold

classification 🧮 math.DG
keywords curvaturemeanconstantexistencehypersurfacessubmanifoldalonganother
0
0 comments X
read the original abstract

Given any nondegenerate k-dimensional minimal submanifold K of codimension greater than 1, we prove the existence of families of constant mean curvature submanifolds, with mean curvature varying from one member of the family to another, which `condense' to K. In particular, our result proves the existence of constant mean curvature hypersurfaces with nontrivial topology in any Riemannian manifold.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.