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Compactness of minimal hypersurfaces with bounded index
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Sharp, Benjamin G. (2017) Compactness of minimal hypersurfaces with bounded index. Journal of Differential Geometry, 106 (2). pp. 317-339. doi:10.4310/jdg/1497405628 ISSN 0022-040X.
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Official URL: http://dx.doi.org/10.4310/jdg/1497405628
Abstract
We prove a compactness result for minimal hypersurfaces with bounded index and volume, which can be thought of as an extension of the compactness theorem of Choi–Schoen [4] to higher dimensions.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Hypersurfaces -- Research, Minimal surfaces -- Research, Geometric measure theory | ||||||
| Journal or Publication Title: | Journal of Differential Geometry | ||||||
| Publisher: | Lehigh University * Department of Mathematics | ||||||
| ISSN: | 0022-040X | ||||||
| Official Date: | 14 June 2017 | ||||||
| Dates: |
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| Volume: | 106 | ||||||
| Number: | 2 | ||||||
| Page Range: | pp. 317-339 | ||||||
| DOI: | 10.4310/jdg/1497405628 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Date of first compliant deposit: | 13 November 2019 | ||||||
| Date of first compliant Open Access: | 14 November 2019 | ||||||
| RIOXX Funder/Project Grant: |
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