Holomorphic curves into infinite dimensional almost Kähler manifolds and Hamiltonian dynamics

Abstract

We study analysis over infinite dimensional manifolds consisted by sequences of almost Kähler manifolds. In particular we develop moduli theory of pseudo holomorphic curves into the spaces with high symmetry. As applications, we study Hamiltonian dynamics over the infinite dimensional manifolds, and induce some dynamical properties of Hamiltonian diffeomorphisms on such spaces.

This is a complete revision to the previous version and includes a basic analysis of holomorphic maps into infinite dimensional spaces. arXiv admin note: text overlap with arXiv:1205.2938

References in corpus (2)

• On the Spectrum of Hecke Type Operators related to some Fractal Groups
• Growth of maps, distortion in groups and symplectic geometry