ON THE SPHERICAL INDICATRIES OF CURVES IN GALILEAN 4-SPACE

YILMAZ S., Unluturk Y.

JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY, cilt.25, sa.2, ss.154-170, 2019 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 2
  • Basım Tarihi: 2019
  • Dergi Adı: JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.154-170
  • Anahtar Kelimeler: Galilean 4D space, Spherical indicatrices, ccr-curve, Involute-evolute curves, Bertrand curve, Helix, Spherical curve, SPACE, SURFACES
  • 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.