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

Axioms

Morris W. Hirsch¹ 

[1] Department of Mathematics, University of Wisconsin, Madison, WI 53706-1388, USA; E-Mail:

关键词: Lie group;    Lie algebra;    vector fields;    fixed point index;    dynamical systems;   

DOI  :  10.3390/axioms4030313

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the author; licensee MDPI, Basel, Switzerland.