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Principal curvatures of a surface

  1. Nov 14, 2015 #1
    Hello !
    1. The problem statement, all variables and given/known data
    In an exercise we consider two surfaces
    given by
    f1=(x,y,f(x,y)) defined in a domain D
    And
    f2=f1 in D'
    And a line d with two parametrizations
    d1=(f(y,z),y,z)
    d2=(x,f(x,z),z)
    They ask to find the principal curvatures of S1 U S2 U d

    2. Relevant equations


    3. The attempt at a solution
    To find the second fundamental form of a union of surfaces, do I have to do the calculations for every surface separately ?
    And we know that d is a line so the principal curvatures must be 0, right ?
    So I just end up doing the work for f1=f2 ?
    Thanks
     
  2. jcsd
  3. Nov 19, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
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