ON THE SPHERICAL INDICATRIES OF CURVES IN GALILEAN 4-SPACE

YILMAZ S., Unluturk Y.

JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY, vol.25, no.2, pp.154-170, 2019 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 2
  • Publication Date: 2019
  • Journal Name: JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.154-170
  • Keywords: Galilean 4D space, Spherical indicatrices, ccr-curve, Involute-evolute curves, Bertrand curve, Helix, Spherical curve, SPACE, SURFACES
  • Dokuz Eylül University Affiliated: Yes

Abstract

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.