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check that if there are no umbilic points and the...

Question: check that if there are no umbilic points and the...

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Check that if there are no umbilic points and the parameter curves are lines of curvature, then F = m = 0 and we have the principal curvatures ki = 1/E and k2 = n/ G. Conversely, prove that if F m 0, then the parameter curves are lines of curvature *1.

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