Existence of minimal surfaces of arbitrarily large Morse index
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526_2016_Article_1007.pdf
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Author(s)
Li, Haozhao
Zhou, Xin
Date Issued
May 2016
Journal
Calculus of Variations and Partial Differential Equations
Publisher
Springer Berlin Heidelberg
Citation
Li, Haozhao, and Xin Zhou. “Existence of Minimal Surfaces of Arbitrarily Large Morse Index.” Calculus of Variations and Partial Differential Equations 55.3 (2016): n. pag.
Version
Author's final manuscript
Abstract
We show that in a closed 3-manifold with a generic metric of positive Ricci curvature, there are minimal surfaces of arbitrary large Morse index, which partially confirms a conjecture by Marques and Neves. We prove this by analyzing the lamination structure of the limit of minimal surfaces with bounded Morse index.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00526-016-1007-6
