Compactness of Constant Mean Curvature Surfaces in Three Manifold with Positive Ricci Curvature
Abstract
In this paper we prove a compactness theorem for constant mean curvature surfaces with area and genus bound in three manifold with positive Ricci curvature. As an application, we give a lower bound of first eigenvalue of constant mean curvature surfaces in three manifold with positive Ricci curvature.
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