
Journal of Lie Theory 13 (2003), No. 2, 457464 Copyright Heldermann Verlag 2003 On the Volume of Unit Vector Fields on a Compact Semisimple Lie Group Marcos Salvai FaMAF  CIEM, Ciudad Universitaria, 5000 Cordoba, Argentina 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. [ Fulltextpdf (206 KB)] for subscribers only. 