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 (2)

• 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 (2)

• Asymptotic analysis for surfaces with large constant mean curvature and free boundaries
• Multi-bumps analysis for trudinger-moser nonlinearities i -quantification and location of concentration points