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Compactness of
constant mean curvature surfaces in a three-manifold with
positive Ricci curvature
Ao Sun |
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Vol. 305 (2020), No. 2, 735–756
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DOI: 10.2140/pjm.2020.305.735
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Abstract |
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We prove a compactness theorem for constant mean curvature surfaces with area and genus bound in a three-manifold with positive Ricci curvature. As an application, we give a lower bound of the first eigenvalue of constant mean curvature surfaces in a three-manifold with positive Ricci curvature. |
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Keywords
constant mean curvature surfaces, compactness
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Mathematical Subject Classification 2010
Primary: 53A10, 58C40
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Milestones
Received: 2 May 2018
Revised: 10 February 2019
Accepted: 11 October 2019
Published: 29 April 2020
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Authors |
| Ao Sun | |
| Department of Mathematics Massachusetts Institute of Technology Cambridge, MA United States |
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