Minimal surfaces | Differential geometry

Scherk surface

In mathematics, a Scherk surface (named after Heinrich Scherk) is an example of a minimal surface. Scherk described two complete embedded minimal surfaces in 1834; his first surface is a doubly periodic surface, his second surface is singly periodic. They were the third non-trivial examples of minimal surfaces (the first two were the catenoid and helicoid). The two surfaces are conjugates of each other. Scherk surfaces arise in the study of certain limiting minimal surface problems and in the study of harmonic diffeomorphisms of hyperbolic space. (Wikipedia).

Scherk surface
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Related pages

Hyperbolic space | Minimal surface | Associate family | Natural number | Mathematics | Weierstrass–Enneper parameterization | Diffeomorphism | Catenoid | Saddle tower | Quadrilateral | Helicoid | Schoen–Yau conjecture