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FOCAL SURFACES OF WAVE FRONTS IN THE EUCLIDEAN 3-SPACE

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Abstract 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… Click to show full abstract

Abstract 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.

Keywords: focal surfaces; fronts euclidean; euclidean space; surfaces wave; wave fronts

Journal Title: Glasgow Mathematical Journal
Year Published: 2018

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