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 - Tập 27 - Trang 1-17 - 2019
M. A. Soliman1, W. M. Mahmoud2, E. M. Solouma3, M. Bary2
1Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
2Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt
3Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

Tóm tắt

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.

Tài liệu tham khảo

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