IJPAM: Volume 108, No. 4 (2016)
IN EUCLIDEAN SPACE
Department of Mathematics Education and RINS
Gyeongsang National University
Jinju 52828, REPUBLIC OF KOREA
Abstract. In the present paper, we study evolute offsets of a non-developable ruled surface in Euclidean 3-space and classify the evolute offset with constant Gaussian curvature and constant mean curvature. In last section, we investigate linear Weingarten evolute offsets in . A linear Weingarten surface is the surface having a linear equation between the Gaussian curvature and the mean curvature of a surface.
Received: February 16, 2016
AMS Subject Classification: 53C30, 53B25
Key Words and Phrases: linear Weingarten surface, offset, constant curvature surface, ruled surface
Download paper from here.
DOI: 10.12732/ijpam.v108i4.22 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 985 - 997