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An almost complex manifold is hyperbolic if it does not contain any entire curve. We start characterizing hyperbolic compact almost complex manifolds. These are the ones whose holomorphic discs satisfy a linear isoperimetric inequality. Then we prove the almost complex version of the Greeene Theorem : the complementary of five lines in general position in a projective almost complex plane is hyperbolic.

Information about the video

  • Date of recording 28/06/2012
  • Date of publication 20/05/2026
  • Institution Institut Fourier
  • Licence CC BY NC ND
  • Language English
  • Format MP4

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