Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 191849, 11 pages
http://dx.doi.org/10.1155/2011/191849
Research Article

Weingarten and Linear Weingarten Type Tubular Surfaces in E 3

Yılmaz Tunçer,1 Dae Won Yoon,2 and Murat Kemal Karacan1

1Department of Mathematics, Arts and Science Faculty, Usak University, 64200 Usak, Turkey
2Department of Mathematic Education and RINS, Gyeongsang National University, Jinju 660701, Republic of Korea

Received 5 January 2011; Revised 30 March 2011; Accepted 26 April 2011

Academic Editor: Victoria Vampa

Copyright © 2011 Yılmaz Tunçer et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study tubular surfaces in Euclidean 3-space satisfying some equations in terms of the Gaussian curvature, the mean curvature, the second Gaussian curvature, and the second mean curvature. This paper is a completion of Weingarten and linear Weingarten tubular surfaces in Euclidean 3-space.