Minimizing conformal energies in homotopy classes
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| 024 | 7 | 0 | |a 10.1515/form.2004.16.6.841 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/form.2004.16.6.841 | ||
| 245 | 0 | 0 | |a Minimizing conformal energies in homotopy classes |h [Elektronische Daten] |c [Joseph F. Grotowski, Manfred Kronz] |
| 520 | 3 | |a We consider a minimizing sequence for the conformal energy in a given homotopy class of maps between two compact Riemannian manifolds M and N. In general this sequence will fail to be (strongly) convergent in the natural Sobolev class, but will have a weak limit which is not a priori in the original homotopy class. We prove a topological decomposition theorem: the homotopy class of the original map is given as the composition (in an appropriate sense) of the homotopy class of the weak limit with a finite number of free homotopy classes of maps from the sphere (with dimension that of the manifold M) into N. The method of proof shows that the weak limit is a minimizer in its homotopy class, and also shows that the homotopy classes of maps from the sphere occurring in the decomposition can be represented by minimizers in their respective classes. | |
| 540 | |a © de Gruyter | ||
| 690 | 7 | |a Mathematical foundations |2 nationallicence | |
| 690 | 7 | |a Applied mathematics |2 nationallicence | |
| 690 | 7 | |a Calculus & mathematical analysis |2 nationallicence | |
| 700 | 1 | |a Grotowski |D Joseph F. |4 aut | |
| 700 | 1 | |a Kronz |D Manfred |4 aut | |
| 773 | 0 | |t Forum Mathematicum |d Walter de Gruyter |g 16/6(2004-09-16), 841-864 |x 0933-7741 |q 16:6<841 |1 2004 |2 16 |o form | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/form.2004.16.6.841 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/form.2004.16.6.841 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Grotowski |D Joseph F. |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kronz |D Manfred |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Forum Mathematicum |d Walter de Gruyter |g 16/6(2004-09-16), 841-864 |x 0933-7741 |q 16:6<841 |1 2004 |2 16 |o form | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||