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Maximal Exterior product of Tangent space

  1. Aug 29, 2009 #1
    I am working through a book on Kahler manifolds and for one of the proofs it states that the maximum exterior power of TM is m (where M has complex dimension). Could you explain why this is the case rather than the maximum exterior power being 2m.
  2. jcsd
  3. Aug 29, 2009 #2
    My guess is that you are wedging even dimensional forms.
  4. Sep 2, 2009 #3
    The torus seems to provide a counterexample, absent further information.
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