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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.
 
 
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© Robert FERRÉOL  2017