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Axioms 2015, 4(3), 313-320; doi:10.3390/axioms4030313

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

1
Department of Mathematics, University of Wisconsin, Madison, WI 53706-1388, USA
2
Department of Mathematics, University of California, Berkeley, CA 94720-3840, USA 
Academic Editor: Sidney A. Morris
Received: 30 April 2015 / Revised: 3 July 2015 / Accepted: 9 July 2015 / Published: 27 July 2015
(This article belongs to the Special Issue Topological Groups: Yesterday, Today, Tomorrow)
View Full-Text   |   Download PDF [192 KB, uploaded 27 July 2015]

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. View Full-Text
Keywords: Lie group; Lie algebra; vector fields; fixed point index; dynamical systems Lie group; Lie algebra; vector fields; fixed point index; dynamical systems
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Hirsch, M.W. Fixed Points of Local Actions of Lie Groups on Real and Complex 2-Manifolds. Axioms 2015, 4, 313-320.

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