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Differentisl geometry internal contraction

  1. Feb 5, 2013 #1
    I am struggling to see how the relation:
    [itex](df:U)(dh:V)-(dh:V)(df:V)[/itex] (1)
    can be rewritten as:
    [itex]U(fdh:v)-V(fdh:U)-fdh:[U,V][/itex] (2)

    I have tried expanding (1) out by making a scalar vector product of Udh:V but i don't think that is right and i am just not sure how best to proceed. It was annoyingly skipped over in class today, any help or suggestions would be appreciated.
  2. jcsd
  3. Feb 12, 2013 #2
    I am very unclear as to what you are asking. Perhaps you could clarify? What is f,h,U,V? What does your : mean? Typically, I have seen contraction denoted by [itex] \iota [/itex] or [itex] \lrcorner [/itex], so I do not know how to read this.
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