TY - JOUR
AU - Field, M. J.
AB - Let G be a compact Lie group acting smoothly on a compact differential manifold and suppose that all G‐orbits have the same dimension. We say that a G‐equivariant diffeomorphism is G‐Anosov if it is hyperbolic transverse to the G‐action. We prove that G‐Anosov diffeomorphisms are G‐structurally stable and form an open subspace of the group of equivariant diffeomorphisms. We prove similar results for flows.
TI - Equivariant Diffeomorphisms Hyperbolic Transverse to a G‐Action
JF - Journal of the London Mathematical Society
DO - 10.1112/jlms/s2-27.3.563
DA - 1983-06-01
UR - https://www.deepdyve.com/lp/wiley/equivariant-diffeomorphisms-hyperbolic-transverse-to-a-g-action-VoMZuAKEJS
SP - 563
EP - 576
VL - s2-27
IS - 3
DP - DeepDyve
ER -