A characterization of the projective transformation in Minkowski 3-space

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ALAGÖZ Y.

TURKISH JOURNAL OF MATHEMATICS, vol.38, no.5, pp.896-904, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 5
  • Publication Date: 2014
  • Doi Number: 10.3906/mat-1402-12
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.896-904
  • Yıldız Technical University Affiliated: Yes

Abstract

We consider transformations preserving asymptotic directions of surfaces in Minkowski 3-space and show that a transformation preserves the asymptotic directions of a surface if only if it is the projective one. Therefore, we obtain a characterization of the projective transformation.