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Infima of universal energy functionals on homotopy classes

✍ Scribed by Stefan Bechtluft-Sachs

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
138 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We consider the infima $ \hat E $(f) on homotopy classes of energy functionals E defined on smooth maps f: M^n^ β†’ V^k^ between compact connected Riemannian manifolds. If M contains a sub‐manifold L of codimension greater than the degree of E then $ \hat 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. (Β© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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