English

Hofer-Zehnder capacity of standard cotangent bundles

Symplectic Geometry 2007-05-23 v1 Dynamical Systems

Abstract

Let MM be a compact manifold with an effective semi-free circle action whose fixed point set has trivial normal bundle. We prove that its cotangent bundle endowed with the canonical symplectic form has bounded Hofer-Zehnder sensitive capacity. We give several examples like the product of any compact manifold with §n\S^n or a connected sum \CP^n # ... # \CP^n.

Keywords

Cite

@article{arxiv.math/0308174,
  title  = {Hofer-Zehnder capacity of standard cotangent bundles},
  author = {Leonardo Macarini},
  journal= {arXiv preprint arXiv:math/0308174},
  year   = {2007}
}

Comments

Latex file, 5 pages