## Gauß Curvature Surfaces

Surfaces of constant or prescribed Gauß curvature. The Gauß curvature K of a
smooth surface in R^{3} is the product of the two principal curvature
values, and belongs to the intrinsic geometry of the surface. Ruled surfaces
have zero Gauß curvature. Surfaces with constant negative Gauß curvature
cannot be immersed into R^{3} as complete surfaces.
#### References

- Manfredo P. do Carmo:
*Differential Geometry of Curves and Surfaces*,
Prentice-Hall Englewood Cliffs, NJ (1976).
- Gerd Fischer:
*Mathematical Models*, Vieweg Verlag (1986).
- Alfred Gray:
*Modern Differential Geometry of Curves and Surfaces*,
CRC Press (1994).

#### Technical
Note

As a guide, meshes should have no holes, no degenerate triangles and
elements, no duplicate vertices. Surfaces should have meshes with an adjacency
relation.