Equivariant dynamical systems

Field, M. J.

doi:10.1090/S0002-9947-1980-0561832-4

Equivariant dynamical systems
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by M. J. Field

Trans. Amer. Math. Soc. 259 (1980), 185-205

DOI: https://doi.org/10.1090/S0002-9947-1980-0561832-4

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Abstract:

The basic properties of vector fields and diffeomorphisms invariant under the action of a compact Lie group are presented. A Kupka-Smale density theorem for equivariant dynamical systems and an existence theorem for equivariant Morse-Smale systems on an arbitrary compact G-manifold are proved.

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