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math.SGMay 27, 2007
20
citations (OpenAlex)
authors
  • Peter Albers
  • Helmut Hofer
institutions
  • Institute for Advanced Study
  • New York University
arXiv abstractPDF
paper

On the Weinstein conjecture in higher dimensions

arXiv:0705.3953 · doi:10.4171/CMH/167

Abstract

The existence of a "Plastikstufe" for a contact structure implies the Weinstein conjecture for all supporting contact forms.

5 pages

Cited by in corpus (10)

  • Gromov compactness for holomorphic discs with totally real boundary conditions
  • Symplectic cobordisms and the strong Weinstein conjecture
  • Steady Euler flows and Beltrami fields in high dimensions
  • Polyfolds, Cobordisms, and the strong Weinstein conjecture
  • On some examples and constructions of contact manifolds
  • On plastikstufe, bordered Legendrian open book and overtwisted contact structures
  • The Weinstein conjecture in the presence of submanifolds having a Legendrian foliation
  • Periodic orbits in virtually contact structures
  • Higher dimensional contact topology via holomorphic disks
  • Planarity in higher-dimensional contact manifolds
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