On the 3-parameter spatial motions in lorentzian 3-space

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YILDIRIM H., Kuruoğlu N.

Filomat, vol.32, no.4, pp.1183-1192, 2018 (SCI-Expanded, Scopus) 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, Holditch-Type Theorems, Lorentzian 3-Space, Volume, Volume Element
  • Open Archive Collection: AVESIS Open Access Collection
  • Istanbul Gelisim University Affiliated: Yes

Abstract

© 2018, University of Nis. All rights reserved.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 L3. Moreover, taking into account these formulas, we give Holditch-Type Theorems and some corollaries in Lorentzian sense.