Tubular surface around a Legendre curve in BCV spaces

Yıl 2016, Cilt: 4 Sayı: 2, 61 - 71, 01.03.2016

Abdullah Yildirim

Öz

C. Baikousssis, D.E. Blair[1] made a study of Legendre curves in contact metric manifolds. J. I. Inoguchi, T. Kumamoto, N. Ohsugi, and Y. Suyama[2] studied fundamental properties of Heisenberg 3-spaces. M. Belkhelfa, I.E. Hirica, R. Rosca, L. Verstlraelen[6] obtained a complete characterization of surfaces with paralel second fundamental form in 3-dimensional Bianchi-Cartan-Vranceanu spaces(BCV). In this study, we define the canal surface around Legendre curve with Frenet frame in BCV spaces. Afterwards we investigate tubular surface around Legendre curve curve with Frenet frame. Finally we give some characterizations about special curves lying on tubular surface around Legendre curve.

Anahtar Kelimeler

Canal surfaces, tubular surfaces, connections, geodesics, Sasaki spaces

Kaynakça

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