Keywords and phrases: canal surfaces, curves, mean curvature, Gauss curvature, Walker manifolds.
Received: July 18, 2023; Accepted: September 15, 2023; Published: January 30, 2024
How to cite this article: Ameth Ndiaye and Mahamane Saminou Ali, Tube surfaces in a strict Walker 3-manifold, JP Journal of Geometry and Topology 30(1) (2024), 1-16. http://dx.doi.org/10.17654/0972415X24001
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] S. Aslan and Y. Yaylı, Canal surfaces with quaternions, Adv. Appl. Clifford Algebras 26 (2016), 31-38. [2] M. Brozos-Vázquez, E. García-Rio, P. Gilkey, S. Nikević and R. Vázquez-Lorenzo, The geometry of Walker manifolds, Synthesis Lectures on Mathematics and Statistics, Morgan and Claypool Publishers, Williston, VT, 2009. [3] M. P. do Carmo, Differential Geometry of Curves and Surfaces, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1976, pp. 190-191. [4] B. Y. Chen, Geometry of submanifolds, Pure and Applied Mathematics, No. 22, Marcel Dekker, Inc., New York, 1973. [5] M. Gningue, A. Ndiaye and N. Rénovat, Biharmonic curves in a strict Walker 3 manifold, Int. J. Math. Math. Sci. (2022), Art. ID 3855033, 6 pp. [6] Y. H. Kim, H. Liu and J. Qian, Some characterizations of canal surfaces, Bull. Korean Math. Soc. 53 (2016), 461-477. [7] D. W. Yoon, On the Gauss map of tubular surfaces in Galilean 3-space, Int. J. Math. Anal. 8(45) (2014), 2229-2238. [8] A. Ucum and K. Ilarslan, New types of canal surfaces in Minkowski 3-space, Adv. Appl. Clifford Algebras 26(1) (2016), 449-468.
|