Title of article :
Weingarten and Linear WeingartenType Tubes with Darboux Frame in E ³
Author/Authors :
azak, ayse zeynep sakarya university - faculty of education - department of primary education, turkey , tosun, murat sakarya university - faculty of arts and science - department of mathematics, Turkey
Abstract :
In this study, we have found that the tube surface with Darboux frame is also Weingarten surface in the Euclidean 3-space E ³ . Then we get the necessary and sufficient conditions for being (H, KII ), (K, KII ) types Weingarten tube surfaces with Darboux frame. In addition to that we have proved that there are no (H, KII ) and (K, KII )-types linear Weingarten surfaces with Darboux frame. Here K, KII and H are Gauss curvature, second Gauss curvature and mean curvature of tube surface, respectively.
Keywords :
Darboux frame , Tube , Weingarten surface
Journal title :
General Mathematics Notes
Journal title :
General Mathematics Notes
