Journal article
A frame energy for immersed tori and applications to regular homotopy classes
- Abstract:
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The paper is devoted to studying the Dirichlet energy of moving frames on 2-dimensional tori immersed in the euclidean 3 ≤ m-dimensional space. This functional, called frame energy, is naturally linked to the Willmore energy of the immersion and on the conformal structure of the abstract underlying surface. As the first result, a Willmore-conjecture type lower bound is established: namely for every torus immersed in ℝm, m ≥ 3, and any moving frame on it, the frame energy is at least 2π2 and e...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Version of record, pdf, 420.6KB)
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- Publisher copy:
- 10.4310/jdg/1473186541
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Authors
Bibliographic Details
- Publisher:
- International Press Publisher's website
- Journal:
- Journal of Differential Geometry Journal website
- Volume:
- 104
- Issue:
- 1
- Pages:
- 143-186
- Publication date:
- 2016-09-06
- Acceptance date:
- 2015-11-04
- DOI:
- EISSN:
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1945-743X
- ISSN:
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0022-040X
- Source identifiers:
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1061601
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:1061601
- UUID:
-
uuid:69ac60e1-514d-4cb4-a9c7-a9fded5b07ec
- Local pid:
- pubs:1061601
- Deposit date:
- 2019-10-11
Terms of use
- Copyright date:
- 2016
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