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.
Keywords
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
Subject Areas
Geometric Analysis and Curvature Flows
·Applied Mathematics ·Physical Sciences
Point processes and geometric inequalities
·Applied Mathematics ·Physical Sciences
Advanced Differential Geometry Research
·Astronomy and Astrophysics ·Physical Sciences
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