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:	https://doi.org/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
URI:	http://onlinelibrary.wiley.com
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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