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

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

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.

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Veröffentlicht in:Axioms 2015-09, Vol.4 (3), p.313-320
1. Verfasser: Hirsch, Morris W
Format: Artikel
Sprache:eng
Schlagworte:
Axioms
dynamical systems
Fields (mathematics)
fixed point index
Lie algebra
Lie group
Lie groups
vector fields
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Beschreibung
Zusammenfassung: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.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms4030313