Closed minimal surfaces of high Morse index in manifolds of negative curvature
Abstract
We show that compact Riemannian three-manifolds with negative sectional curvature possess closed minimal surfaces of arbitrarily high Morse index.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2017
- DOI:
- 10.48550/arXiv.1710.08007
- arXiv:
- arXiv:1710.08007
- Bibcode:
- 2017arXiv171008007M
- Keywords:
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- Mathematics - Differential Geometry
- E-Print:
- The proof is incorrect because it does not properly account for the action of the mapping class group on the components of the mapping space