Constant Mean Curvature Surfaces in Homology Classes

Abstract

We show the existence of constant mean curvature surfaces in the homology classes of closed 3-manifolds.

arXiv comment15 pages, 3 figures

References in corpus (2)

• Continuity of the isoperimetric profile of a complete Riemannian manifold under sectional curvature conditions
• Min-max theory for constant mean curvature hypersurfaces