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Homework Help: Differential Geometry general question

  1. Apr 4, 2007 #1
    Ok, in general, I know that if the coefficients of the First Fundamental Form agree for two surfaces parameterized by X and Y, the the map X(Y^-1) is an isometry, or the two surfaces are isometric.

    I also know that if two parameterizations don't have the same coefficients, this does not imply that the two surfaces are not isometric.

    So i have two parameterizationsthat have different coefficients of the FFF (first fundamental form) but have the same Gaussian curvature. I need to prove that the two surfaces are not isometric. (ie i need to prove that the converse of Gauss's Great Theorem is false).
  2. jcsd
  3. Apr 8, 2007 #2
    bump bump any help?
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