On analytical applications of stable homotopy (the Arnold conjecture, critical points)
Abstract
We prove the Arnold conjecture for closed symplectic manifolds with
π
2
(M)=0
and $\cat M=\dim M$. Furthermore, we prove an analog of the Lusternik-Schnirelmann theorem for functions with ``generalized hyperbolicity'' property.
Related Researches
Submitted on 11 Aug 1997 (v1), last revised 26 Jan 1998 (this version, v3)
Updated
arXiv.org
Original Source