STABLE TRANSITIVITY FOR EXTENSIONS OF HYPERBOLIC SYSTEMS BY SEMIDIRECT PRODUCTS OF COMPACT AND NILPOTENT LIE GROUPS

摘要

Assume that X is a hyperbolic basic set for/:X→X. We show new examples of Lie group fibers G for which, in the class of C~r, r>0, G-extensions of/,those that are transitive are open and dense. The fibers are semidirect products of compact and nilpotent groups.