Author/Authors :
Aydın, Muhittin Evren Fırat Üniversitesi - Fen Fakültesi - Matematik Bölümü, Turkey
Title Of Article :
Classification Results on Surfaces in The Isotropic 3‐Space
Abstract :
The isotropic 3‐space II3 which is one of the Cayley‐Klein spaces is obtained from the Euclidean space by substituting the usual Euclidean distance with the isotropic distance. In the present paper, we give several classifications on the surfaces in II3 with constant relative curvature (analogue of the Gaussian curvature) and constant isotropic mean curvature. In particular, we classify the helicoidal surfaces in II3 with constant curvature and analyze some special curves on these.
NaturalLanguageKeyword :
Isotropic space , Helicoidal surface , Isotropic mean curvature , Relative curvature , Geodesics , Asymptotic curve
JournalTitle :
Afyon Kocatepe University Journal Of Science and Engineering
