INVESTIGADORES
SALVAI Marcos Luis
artículos
Título:
On the volume of unit vector fields on a compact Lie group
Autor/es:
SALVAI, MARCOS
Revista:
JOURNAL OF LIE THEORY
Editorial:
HELDERMANN VERLAG
Referencias:
Año: 2003 vol. 13 p. 457 - 464
ISSN:
0949-5932
Resumen:
Let G be a compact connected semisimple Lie group endowed with
a bi-invariant Riemannian metric. We prove that maximal singular
unit vector fields on G are minimal, that is, they are critical points
of the volume functional on unit vector fields on G. Besides, we give
a lower bound for the number of nonequivalent minimal unit vector fields on G.
