ON THE BOUR'S THEOREM WITH RESPECT TO CONFORMAL MAP IN MINKOWSKI SPACE E<sub>1</sub><SUP>3</SUP>
JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES, cilt.10, sa.2, ss.149-172, 2012 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 10 Sayı: 2
- Basım Tarihi: 2012
- Doi Numarası: 10.1080/1726037x.2012.10698617
- Dergi Adı: JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.149-172
- Ankara Üniversitesi Adresli: Evet
Özet
A generalized helicoid and a rotational surface have a isometric relation by Bour's therom. It is that" A generalized helicoid is isometric to a rotational surface. Hence, helices on the helicoid correspond to parallel circles on the rotational surface under the isometric trasnformation. In this study, we give a conformal relation between a generalized helicoid and a sprial surface in 3 dimensional Minkowski space E-1(3). In this situtation, we can say that helices on the helicoid correspond to spirals on the spiral surface under the conformal transformation. Also, some related figure are given.