Fixed Points of Local Actions of Lie Groups on Real and Complex 2-Manifolds

Abstract

I discuss old and new results on fixed points of local actions by Lie groups G on real and complex 2-manifolds, and zero sets of Lie algebras of vector fields. Results of E. Lima, J. Plante and C. Bonatti are reviewed.

Keywords

• Lie group
• Lie algebra
• vector fields
• fixed point index
• dynamical systems