Answer to Question #78844 in Differential Geometry | Topology for sajid

Question

Prove that If γ(t)=σ(u(t),v(t)) is a unit speed curve on a surface patch σ, its normal curvature is given by k_n=Lu ̇^2+2M(u ) ̇v ̇+Nv ̇^2
Where L〖du〗^2+2Mdudv+N〖dv〗^2 is the second fundamental form of σ.

Answer 1

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