Differential geometry The tenth chapter of a very little surface

Tenth chapter, very little surface

1. Minimum figure

Animation showing the deformation of a helicoid into a catenoid.

Animation of Scherk ' s first and second surface transforming into each other:they is members of the same associate family of minimal surfaces.

1.1. isothermal coordinates of minimum graphs

1.2.Bernstein theorem

2. Weierstrass expression of a very little surface

Enneper surface,

Costa surface, a complete minimum embedded surface with a genus of 1.

3. Gauss mapping of minimal surfaces

Meromorphic functions are functions that are defined on region D and are resolved everywhere except the poles.

4. Variation of area and stable polar surface

Differential geometry The tenth chapter of a very little surface