Concentration of CMC Surfaces in a 3-manifold

Abstract

We prove that simply connected H-surfaces with small diameter in a 3-manifold necessarily concentrate at a critical point of the scalar curvature.

References in corpus (3)

• The isoperimetric profile of a compact Riemannian Manifold for small volumes
• Asymptotic analysis for surfaces with large constant mean curvature and free boundaries
• CMC Surfaces in Riemannian Manifolds Condensing to a Compact Network of Curves

Cited by in corpus (3)

• Asymptotic analysis for surfaces with large constant mean curvature and free boundaries
• Concentration of small Willmore spheres in Riemannian 3-manifolds
• Multi-bumps analysis for trudinger-moser nonlinearities i -quantification and location of concentration points