Nonexpansive homeomorphisms

作者：Ben Rejeb Khadija^*; Salhi Ezzeddine; Vago Gioia

来源：Topology and Its Applications, 2013, 160(15): 1969-1986.

DOI：10.1016/j.topol.2013.07.050

• Nonexpansive homeomorphism
• Short map
• Isometry
• Convex
• Contraction
• Periodic

We study the qualitative dynamical behavior of nonexpansive homeomorphisms f of locally compact metric spaces and of compact connected Riemannian manifolds. We show how the dynamical properties of such homeomorphisms are concentrated on the limit set on which f acts as a global isometry. Next we focus on the Euclidean setting where an explicit description of such dynamics is given.

• 出版日期2013-9-15