Soliman, M., Mahmoud, W., Solouma, E., Bary, M. (2019). The new study of some characterization of canal surfaces with Weingarten and linear Weingarten types according to Bishop frame. test, 27(1), 1-17. doi: 10.1186/s42787-019-0032-y
M. A. Soliman; W. M. Mahmoud; E. M. Solouma; M. Bary. "The new study of some characterization of canal surfaces with Weingarten and linear Weingarten types according to Bishop frame". test, 27, 1, 2019, 1-17. doi: 10.1186/s42787-019-0032-y
Soliman, M., Mahmoud, W., Solouma, E., Bary, M. (2019). 'The new study of some characterization of canal surfaces with Weingarten and linear Weingarten types according to Bishop frame', test, 27(1), pp. 1-17. doi: 10.1186/s42787-019-0032-y
Soliman, M., Mahmoud, W., Solouma, E., Bary, M. The new study of some characterization of canal surfaces with Weingarten and linear Weingarten types according to Bishop frame. test, 2019; 27(1): 1-17. doi: 10.1186/s42787-019-0032-y

The new study of some characterization of canal surfaces with Weingarten and linear Weingarten types according to Bishop frame

Journal of the Egyptian Mathematical Society
Volume 27, Issue 1, 2019, Pages 1-17    PDF (667.99 K)
DOI: 10.1186/s42787-019-0032-y
Authors
M. A. Soliman; W. M. Mahmoud; E. M. Solouma; M. Bary
Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt
Abstract
In this paper, we have a tendency to investigate a particular Weingarten and linear
Weingarten varieties of canal surfaces according to Bishop frame in Euclidean 3-space
E3 satisfying some fascinating and necessary equations in terms of the Gaussian
curvature, the mean curvature, and therefore the second Gaussian curvature. On the
premise of those equations, some canal surfaces are introduced.

Keywords
Canal surfaces; Weingarten surfaces; Bishop frame; Gaussian curvature; Second Gaussian curvature
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