The closed embedded minimal surfaces in an almost positively curved three manifold |
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| Authors: | Ynging Lee Derchyi Wu |
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| Affiliation: | (1) Department of Mathematics, National Taiwan University, Taipei, Taiwan Republic of China;(2) Institute of Mathematics, Academia Sinica Nankang, Taipei, Taiwan Republic of China |
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| Abstract: | The compactness theorem of the closed embedded minimal surfaces of fixed genus in a 3-dimensional closed Riemannian manifoldN is proved, providedN is simply connected and the nonpositive value set of Ricci curvature is sufficiently concentrated within finite balls and the minimal surfaces are uniformly away from these balls. |
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| Keywords: | Compactness theorem embedded minimal surfaces curvature eigenvalue |
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