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

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

1997-08-11

arxiv.org/abs/dg-ga/9708008v3

Mathematics

Differential Geometry

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

Scientific paper

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

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