A characterization of the projective transformation in Minkowski3-space
Author(s) -
Yasemin Alagöz
Publication year - 2014
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1402-12
Subject(s) - mathematics , projective test , minkowski space , transformation (genetics) , pure mathematics , characterization (materials science) , projective space , quaternionic projective space , collineation , complex projective space , real projective space , space (punctuation) , mathematical analysis , geometry , computer science , physics , optics , biochemistry , chemistry , gene , operating system
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.
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