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Isometric immersion

  1. Nov 5, 2007 #1
    Let f:M-->N be isometric immersion.
    Is it true that we can find a curve in f(M) which is geodesic in N?
  2. jcsd
  3. Nov 5, 2007 #2
    I don't think so. Take for example a sphere inside R^3.
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