Seemungal, L. and Sharp, B. orcid.org/0000-0002-7238-4993 (2026) Index estimates for constant mean curvature surfaces in three-manifolds by energy comparison. Journal of Functional Analysis. 111375. ISSN: 0022-1236 (In Press)
Abstract
We prove a linear upper bound on the Morse index of closed constant mean curvature (CMC) surfaces in orientable three-manifolds in terms of genus, number of branch points and a Willmore-type energy.
Metadata
| Item Type: | Article |
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| Authors/Creators: |
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| Keywords: | Constant mean curvature surfaces, Morse index |
| 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) |
| Funding Information: | Funder Grant number EPSRC (Engineering and Physical Sciences Research Council) EP/W026597/1 |
| Date Deposited: | 23 Jan 2026 12:43 |
| Last Modified: | 23 Jan 2026 12:43 |
| Status: | In Press |
| Publisher: | Elsevier |
| Identification Number: | 10.1016/j.jfa.2026.111375 |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:236786 |
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