Weingarten formulas

Weingarten formulas

[′wīn‚gart·ən ‚for·myə·ləs]
(mathematics)
Equations concerning the normals to a surface at a point.
References in periodicals archive ?
Now, the Gauss and Weingarten formulas (7) and (8), in combination with the Gauss and Codazzi equations (10) and (11), will give us all the relevant geometric information about the immersion (U,x).
Using again the Gauss and Weingarten formulas (7) and (8), it can be shown that x : U [right arrow] [M.sup.3.sub.r] ([rho]) [right arrow] [E.sup.sub.v] satisfies the following PDE system:
Then, the Gauss and Weingarten formulas for [[SIGMA].sup.n] in [L.sup.n+1] are written, respectively, as
Consequently, from the Gauss and Weingarten formulas, the Hessian of h is given by