Holomorphic curves into infinite dimensional almost K\"ahler manifolds and Hamiltonian dynamics

Tsuyoshi Kato

Holomorphic curves into infinite dimensional almost K\"ahler manifolds and Hamiltonian dynamics

Symplectic Geometry 2017-11-08 v2 Group Theory Metric Geometry

Authors: Tsuyoshi Kato

Abstract

We study analysis over infinite dimensional manifolds consisted by sequences of almost K\"ahler 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.

Keywords

holomorphic curves infinite dimensional manifolds almost Kähler manifolds moduli theory Hamiltonian dynamics

Cite

@article{arxiv.1304.2827,
  title  = {Holomorphic curves into infinite dimensional almost K\"ahler manifolds and Hamiltonian dynamics},
  author = {Tsuyoshi Kato},
  journal= {arXiv preprint arXiv:1304.2827},
  year   = {2017}
}

Comments

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

Holomorphic curves into infinite dimensional almost K\"ahler manifolds and Hamiltonian dynamics

Abstract

Keywords

Cite

Comments

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