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Let l1,,lm be the normal curvatures at p M along directions making angles 0,2p/m,,(m-1)2p/m with a principal direction. Find the value of

l1 + + lm
in terms of the mean curvature H at p.
  • H/m
  • m H
  • 2H-m
  • [(m-1)/m] H
  • m/H
  • *****
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    Carlos Rodriguez <carlos@math.albany.edu>
    This problem was contributed by a student. It is offered as it is with no warranty of any kind
    Last modified:Tue May 03 2011 09:55:25 GMT-0400 (Eastern Daylight Time)