Search results

  1. L

    I Computing the Weingarten Map L by raising an index

    Hello, I have to prove that the Weingarten Map L for the unit sphere is + or - the identity "by computing the Lik in a coordinate patch and raising an index". S^2 : x(Φ,θ)=(sinΦcosθ, sinΦsinθ, cosΦ) I have computed the first (g) and the second (Λ) fundamental forms and I have found : L=g-1Λ=...
  2. L

    I Meaning of the sign of the geodesic curvature

    My question is : what is the meaning of the geodesic curvature sign for a coordinate patch? for a surface? Thank you.