In this paper, the translation surfaces in 3-dimensional
Euclidean space generated by two space curves have been
investigated. It has been indicated that Scherk surface is not only
minimal translation surface.
[1] D. W. Yoon, "On the Gauss map of translation surfaces in Minkowski 3-
space," Taiwanese Journal of Mathematics, vol. 6, no. 3, pp. 389-398,
2002.
[2] H. Liu, "Translation surfaces with constant mean curvature in 3-
dimensional spaces," Journal of Geometry, vol. 64, pp. 141-149, 1999.
[3] L. Verstraelen, J. Walrave, and S. Yaprak, "The minimal translation
surfaces in Euclidean space," Soochow Journal of Mathematics, vol. 20,
no. 1, pp. 77-82, 1994.
[4] M. Munteanu, and A. I. Nistor, "On the geometry of the second
fundamental form of translation surfaces in E3, arXiv:0812.3166v1
[math.DG] 16 Dec. 2008.
[1] D. W. Yoon, "On the Gauss map of translation surfaces in Minkowski 3-
space," Taiwanese Journal of Mathematics, vol. 6, no. 3, pp. 389-398,
2002.
[2] H. Liu, "Translation surfaces with constant mean curvature in 3-
dimensional spaces," Journal of Geometry, vol. 64, pp. 141-149, 1999.
[3] L. Verstraelen, J. Walrave, and S. Yaprak, "The minimal translation
surfaces in Euclidean space," Soochow Journal of Mathematics, vol. 20,
no. 1, pp. 77-82, 1994.
[4] M. Munteanu, and A. I. Nistor, "On the geometry of the second
fundamental form of translation surfaces in E3, arXiv:0812.3166v1
[math.DG] 16 Dec. 2008.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:58252", author = "Muhammed Çetin and Yılmaz Tunçer and Nejat Ekmekçi", title = "Translation Surfaces in Euclidean 3-Space", abstract = "In this paper, the translation surfaces in 3-dimensional
Euclidean space generated by two space curves have been
investigated. It has been indicated that Scherk surface is not only
minimal translation surface.", keywords = "Minimal surface, Surface of Scherk, Translationsurface", volume = "5", number = "4", pages = "621-5", }