Infima of universal energy functionals on homotopy classes

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) over cap (f) on homotopy classes of energy functionals E defined on smooth maps f : M-n -> V-k between compact connected Riemannian manifolds. If M contains a sub-manifold L of codimension greater than the degree of E then (E) over cap (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. (c) 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

Item Type: Article
Uncontrolled Keywords: P-HARMONIC MAPS; natural energy functional; homotopy factorization over subskeleta
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 03 Mar 2021 07:33
Last Modified: 03 Mar 2021 07:33
URI: https://pred.uni-regensburg.de/id/eprint/35224

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