Answers are grounded in this paper and cite their sources.
The research demonstrates minimal characteristics of unit vector fields in compact semisimple Lie groups, implying significant properties in differential geometry.
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 .
No takes yet. Share an insight, caveat, or question.
M. Salvai (2003) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: