1. FOCAL SURFACES OF WAVE FRONTS IN THE EUCLIDEAN 3-SPACE
- Author
-
Keisuke Teramoto
- Subjects
Mathematics - Differential Geometry ,General Mathematics ,010102 general mathematics ,Mathematical analysis ,Astrophysics::Instrumentation and Methods for Astrophysics ,Space (mathematics) ,01 natural sciences ,Differential Geometry (math.DG) ,0103 physical sciences ,Euclidean geometry ,FOS: Mathematics ,57R45, 53A05, 53A55 ,Gravitational singularity ,010307 mathematical physics ,0101 mathematics ,Nonlinear Sciences::Pattern Formation and Solitons ,Differential (mathematics) ,Mathematics - Abstract
We characterize singularities of focal surfaces of wave fronts in terms of differential geometric properties of the initial wave fronts. Moreover, we study relationships between geometric properties of focal surfaces and geometric invariants of the initial wave fronts., Comment: 12 pages, 2 figures
- Published
- 2018
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