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 ...
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.
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