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arXiv · 1804.09328

Compactness of Constant Mean Curvature Surfaces in Three Manifold with Positive Ricci Curvature

Ao Sun
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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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Ao Sun. 2018-04-25. Compactness of Constant Mean Curvature Surfaces in Three Manifold with Positive Ricci Curvature. https://doi.org/10.2140/pjm.2020.305.735

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