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FOCAL SURFACES OF WAVE FRONTS IN THE EUCLIDEAN 3-SPACE

Part of: Differential topology Classical differential geometry

Published online by Cambridge University Press:  13 July 2018

KEISUKE TERAMOTO
KEISUKE TERAMOTO*
Affiliation:
Department of Mathematics, Graduate School of Science, Kobe University, Rokko 1-1, Nada, Kobe 657-8501, Japan E-mail: teramoto@math.kobe-u.ac.jp
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Abstract

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We characterise 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.

MSC classification

Primary: 57R45: Singularities of differentiable mappings
Secondary: 53A05: Surfaces in Euclidean space 53A55: Differential invariants (local theory), geometric objects
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 61 , Issue 2 , May 2019 , pp. 425 - 440
Copyright
Copyright © Glasgow Mathematical Journal Trust 2018 

References

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