Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Maximal Exterior product of Tangent space
  1. Exterior product (Replies: 18)

  2. Tangent space (Replies: 17)

Loading...