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Bechtluft-Sachs, Stefan (2006) Infima of Universal Energy Functionals on Homotopy Classes. Mathematische Nachrichten, 279 (15). pp. 1634-1640. ISSN 0025-584X
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Abstract
We consider the infima e E(f) on homotopy classes of energy functionals
E defined on smooth maps f:Mn → V k between compact connected
Riemannian manifolds. If M contains a submanifold L of codimension
greater than the degree of E then e E(f) is determined by the homotopy
class of the restriction of f to M \ L. Conversely if the infimum on
a homotopy class of a functional of at least conformal degree vanishes
then the map is trivial in homology of high degrees.
| Item Type: | Article |
|---|---|
| Additional Information: | This is the preprint version of the published article, which is available at DOI: 10.1002/mana.200410442 |
| Keywords: | Infima; Universal Energy Functionals; Homotopy Classes; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 7105 |
| Identification Number: | 10.1002/mana.200410442 |
| Depositing User: | Stefan Bechtluft-Sachs |
| Date Deposited: | 05 May 2016 15:57 |
| Journal or Publication Title: | Mathematische Nachrichten |
| Publisher: | Wiley-VCH Verlag |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/7105 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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