Journal of Lie Theory Vol. 13, No. 2, pp. 457464 (2003) 

On the Volume of Unit Vector Fields on a Compact Semisimple Lie GroupMarcos SalvaiMarcos SalvaiFaMAFCIEM Ciudad Universitaria, 5000 Córdoba, Argentina salvai@mate.uncor.edu Abstract: Let $G$ be a compact connected semisimple Lie group endowed with a biinvariant 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 $G$. Full text of the article:
Electronic version published on: 26 May 2003. This page was last modified: 14 Aug 2003.
© 2003 Heldermann Verlag
