Weingarten surface

Weingarten surface

[′wīn‚gärt·ən ‚sər·fəs]
(mathematics)
A surface such that either of the principal radii is uniquely determined by the other.
References in periodicals archive ?
Classically, a Weingarten surface or linear Weingarten surface (or briefly, a W-surface) is a surface on which there is a nontrivial functional relation [PHI] ([k.
We suppose that M is a linear Weingarten surface in [E.
1] about unit-speed spacelike curve with timelike principal normal in Minkowski 3-space is a Weingarten surface.
2] about unit-speed spacelike curve with spacelike principal normal in Minkowski 3-space is a Weingarten surface.
3] about unit-speed timelike curve in Minkowski 3-space is a Weingarten surface.
The study of Weingarten surfaces is a classical topic in differential geometry, as introduced by Weingarten in 1861.
For application of Weingarten surfaces to CAGD, we refer to [3], [4].
van-Brunt: Congruent characteristic on linear Weingarten surfaces in Euclidean 3-space, New Zeland J.
Grant: Potential applications of Weingarten surfaces in CADG part I: Weingarten surfaces and surface shape investigation, Computer Aided Geometric Design, 13(1996), 569-582.
Thus Bertrand curves may be regraded as one-dimensional analogue of Weingarten surfaces [9].
Grant, Potential application of Weingarten surfaces in CADG, Part I: Weingarten surfaces and surface shape investigation, Computer Aided Geometric Design, 13(1996), 569-582.
van-Brunt, Congruent characteristics on linear Weingarten surfaces in Euclidean 3-space, New Zealand J.