next surface | previous surface | 2D curves | 3D curves | surfaces | fractals | polyhedra |

WEINGARTEN SURFACE

Notion defined by Weingarten in 1861.
Julius Weingarten (1836-1910): German mathematician. Link: www.encyclopediaofmath.org/index.php/Weingarten_surface |

A surface is said to be a Weingarten surface if there exists a relation, that does not depend on the parameters, between the mean curvature and the total curvature*.*

Examples: obviously, the surfaces with constant mean or total curvature, the surfaces of revolution , and among the ruled surfaces, the developable surfaces.

next surface | previous surface | 2D curves | 3D curves | surfaces | fractals | polyhedra |

© Robert FERRÉOL 2017