ON THE SPHERICAL INDICATRIES OF CURVES IN GALILEAN 4-SPACE
JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY, cilt.25, sa.2, ss.154-170, 2019 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 25 Sayı: 2
- Basım Tarihi: 2019
- Doi Numarası: 10.22342/jims.25.2.473.154-170
- Dergi Adı: JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.154-170
- Anahtar Kelimeler: Galilean 4D space, Spherical indicatrices, ccr-curve, Involute-evolute curves, Bertrand curve, Helix, Spherical curve
- Dokuz Eylül Üniversitesi Adresli: Evet
Özet
Euclidean and non-Euclidean geometries can be considered as spaces that are invariant under a given group of transformations [8]. The geometry established by this approach is called Cayley-Klein geometry. Galilean 4-space is simply defined as a Cayley-Klein geometry of the product space R x E-3 whose symmetry group is Galilean transformation group which has an important place in classical and modern physics.