Existence of minimal surfaces of arbitrarily large Morse index
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 boun...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2017
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| Online Access: | http://hdl.handle.net/1721.1/107182 https://orcid.org/0000-0002-0212-4504 |