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

1997/08/11 by Yuli B. Rudyak, Rudyak, Yuli B. · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #dg-ga #math.DG

paper · pdf · doi:10.48550/arxiv.dg-ga/9708008

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

arxiv created 1998/01/26 · arxiv updated 2009/11/30

Abstract

We prove the Arnold conjecture for closed symplectic manifolds with π₂(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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• Rudyak's conjecture for lower dimensional 1-connected manifolds

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