On the 3-Parameter Spatial Motions in Lorentzian 3-Space

Yildirim H., Kuruoglu N.

FILOMAT, vol.32, no.4, pp.1183-1192, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 4
  • Publication Date: 2018
  • Doi Number: 10.2298/fil1804183y
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1183-1192
  • Keywords: 3-Parameter Spatial Motions, Volume Element, Volume, Holditch-Type Theorems, Lorentzian 3-Space, SPACE, SURFACES, VOLUME
  • Istanbul University Affiliated: Yes

Abstract

In this paper, we obtain the formulas of the volume element and the volume of the region which is determined in the fixed space by any fixed point of the moving space under the 3-parameter spatial motions in Lorentzian 3-space L-3. Moreover, taking into account these formulas, we give Holditch-Type Theorems and some corollaries in Lorentzian sense.