{"title":"Translation Surfaces in Euclidean 3-Space","authors":"Muhammed \u00c7etin, Y\u0131lmaz Tun\u00e7er, Nejat Ekmek\u00e7i","volume":52,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":583,"pagesEnd":588,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/9182","abstract":"In this paper, the translation surfaces in 3-dimensional\r\nEuclidean space generated by two space curves have been\r\ninvestigated. It has been indicated that Scherk surface is not only\r\nminimal translation surface.","references":"[1] D. W. Yoon, \"On the Gauss map of translation surfaces in Minkowski 3-\r\nspace,\" Taiwanese Journal of Mathematics, vol. 6, no. 3, pp. 389-398,\r\n2002.\r\n[2] H. Liu, \"Translation surfaces with constant mean curvature in 3-\r\ndimensional spaces,\" Journal of Geometry, vol. 64, pp. 141-149, 1999.\r\n[3] L. Verstraelen, J. Walrave, and S. Yaprak, \"The minimal translation\r\nsurfaces in Euclidean space,\" Soochow Journal of Mathematics, vol. 20,\r\nno. 1, pp. 77-82, 1994.\r\n[4] M. Munteanu, and A. I. Nistor, \"On the geometry of the second\r\nfundamental form of translation surfaces in E3, arXiv:0812.3166v1\r\n[math.DG] 16 Dec. 2008.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 52, 2011"}