English

On analytical applications of stable homotopy (the Arnold conjecture, critical points)

dg-ga 2008-02-03 v3 Differential Geometry

Abstract

We prove the Arnold conjecture for closed symplectic manifolds with π2(M)=0\pi_2(M)=0 and \catM=dimM\cat M=\dim M. Furthermore, we prove an analog of the Lusternik-Schnirelmann theorem for functions with ``generalized hyperbolicity'' property.

Keywords

Cite

@article{arxiv.dg-ga/9708008,
  title  = {On analytical applications of stable homotopy (the Arnold conjecture, critical points)},
  author = {Yuli B. Rudyak},
  journal= {arXiv preprint arXiv:dg-ga/9708008},
  year   = {2008}
}

Comments

AMSTEX, 12 pages, submitted to Math. Zeitschrift, improvement (correction) of the line of the proof of the Arnold conjecture