Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

As much as i understand. Geodesic line of curvature is a line on the surface such that the projection on the tangent plane of it's curvature vector is 0 at every point. The lines of curavture are lines such that their tangent direction is coincident with one of the principal direction on the surface at every point. But I can't see the difference between them. Can anyone make it clear for me?

share|cite|improve this question
One obvious difference: through a given point there are geodesics going in any direction, not only in the principal directions. – Hans Lundmark Jun 20 '12 at 14:08
wow, that was clear. Thanks a lot. Stupid me – Mykolas Jun 20 '12 at 14:20

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.