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A note on the index of closed minimal hypersurfaces of flat tori
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Ambrozio, Lucas, Carlotto, Alessandro and Sharp, Benjamin G. (2017) A note on the index of closed minimal hypersurfaces of flat tori. Proceedings of the American Mathematical Society, 146 . pp. 335-344. doi:10.1090/proc/13833 ISSN 0002-9939.
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Official URL: https://doi.org/10.1090/proc/13833
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).
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Hypersurfaces, Riemannian manifolds | ||||||
Journal or Publication Title: | Proceedings of the American Mathematical Society | ||||||
Publisher: | American Mathematical Society | ||||||
ISSN: | 0002-9939 | ||||||
Official Date: | 1 August 2017 | ||||||
Dates: |
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Volume: | 146 | ||||||
Page Range: | pp. 335-344 | ||||||
DOI: | 10.1090/proc/13833 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 19 July 2017 | ||||||
Date of first compliant Open Access: | 20 July 2017 | ||||||
Funder: | European Research Council (ERC) | ||||||
Grant number: | Start Gran t PSC and LMCF 278940 |
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