Introducing Weingarten cyclic surfaces in R3
(2017). Introducing Weingarten cyclic surfaces in R3. EKB Journal Management System, 25(1), 48-52. doi: 10.1016/j.joems.2016.06.001
. "Introducing Weingarten cyclic surfaces in R3". EKB Journal Management System, 25, 1, 2017, 48-52. doi: 10.1016/j.joems.2016.06.001
(2017). 'Introducing Weingarten cyclic surfaces in R3', EKB Journal Management System, 25(1), pp. 48-52. doi: 10.1016/j.joems.2016.06.001
Introducing Weingarten cyclic surfaces in R3. EKB Journal Management System, 2017; 25(1): 48-52. doi: 10.1016/j.joems.2016.06.001

Introducing Weingarten cyclic surfaces in R3

Journal of the Egyptian Mathematical Society
Volume 25, Issue 1, 2017, Pages 48-52    PDF (930.68 K)
DOI: 10.1016/j.joems.2016.06.001
Abstract
In this paper, Cyclic surfaces are introduced using the foliation of circles of curvature of a space curve.
The conditions on a space curve such that these cyclic surfaces are of type Weingarten surfaces or HKquadric surfaces are obtained. Finally, some examples are given and plotted.
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