The growth sequence of symplectomorphisms on symplectically hyperbolic manifolds

Abstract

We study the growth rate of a sequence which measures the uniform norm of the differential under the iterates of maps. On symplectically hyperbolic manifolds, we show that this sequence has at least linear growth for every non-identical symplectomorphisms which are symplectically isotopic to the identity.

11 pages

References in corpus (1)

• Slow entropy and symplectomorphisms of cotangent bundles

Cited by in corpus (1)

• An overtwisted disk in a virtual contact structure and the Weinstein conjecture