Twisted surfaces with vanishing curvature in Galilean 3-space

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Atıf İçin Kopyala

DEDE M., EKİCİ C., Goemans W., Unluturk Y.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.15, sa.1, 2018 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 15 Sayı: 1
• Basım Tarihi: 2018
• Doi Numarası: 10.1142/s0219887818500019
• Dergi Adı: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this work, we define twisted surfaces in Galilean 3-space. In order to construct these surfaces, a planar curve is subjected to two simultaneous rotations, possibly with different rotation speeds. The existence of Euclidean rotations and isotropic rotations leads to three distinct types of twisted surfaces in Galilean 3-space. Then we classify twisted surfaces in Galilean 3-space with zero Gaussian curvature or zero mean curvature.