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Energy and volume of
vector fields on spherical domains
Fabiano G. B. Brito, André O. Gomes and Giovanni S. Nunes |
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Vol. 257 (2012), No. 1, 1–7
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Abstract |
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We present a “boundary version” for theorems about minimality of volume and energy functionals on a spherical domain of an odd-dimensional Euclidean sphere. |
Keywords
energy of vector fields, volume of vector fields, Hopf flow
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Mathematical Subject Classification 2010
Primary: 53C20
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Milestones
Received: 20 April 2011
Revised: 20 April 2012
Accepted: 24 April 2012
Published: 19 June 2012
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Authors |
| Fabiano G. B. Brito | |
| Departamento de Matemática e
Estatística Universidade Federal do Estado do Rio de Janeiro 22290-240 Rio de Janeiro RJ Brazil |
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| André O. Gomes | |
| Instituto de Matemática e
Estatística Universidade de São Paulo 05508-090 São Paulo SP Brazil |
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| Giovanni S. Nunes | |
| Instituto de Física e
Matemática Universidade Federal de Pelotas 96001-970 Pelotas RS Brazil |
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