Energy and volume of vector fields on spherical domains

Brito, Fabiano G. B.; Gomes, André O.; Nunes, Giovanni da Silva

doi:10.2140/pjm.2012.257.1

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Energy and volume of vector fields on spherical domains

Abstract: We present in this paper a "boundary version" for theorems about minimality of volume and energy functionals on a spherical domain of threedimensional Euclidean sphere.

Cited by 2 publications

References 8 publications

Vector Fields of Constant Length on Punctured Spheres

Vector Fields of Constant Length on Punctured Spheres

A theorem about energy and volume of vector fields with the “proportional volume property”

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