Ambrozio, L, Carlotto, A and Sharp, BG orcid.org/0000-0002-7238-4993 (2018) A note on the index of closed minimal hypersurfaces of flat tori. Proceedings of the American Mathematical Society, 146. pp. 335-344. ISSN 1088-6826
Abstract
Generalizing earlier work by Ros in ambient dimension three, we prove an affine lower bound for the Morse index of closed minimal hypersurfaces inside a flat torus in terms of their first Betti number (with purely dimensional coefficients).
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Copyright 2017 American Mathematical Society. This is an author produced version of a paper published in Proceedings of the American Mathematical Society. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 27 Jun 2018 09:59 |
Last Modified: | 27 Jun 2018 09:59 |
Status: | Published |
Publisher: | American Mathematical Society |
Identification Number: | 10.1090/proc/13833 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:132613 |