2021
DOI: 10.4064/ba200820-13-11
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Singularities of Gauss maps of wave fronts with non-degenerate singular points

Abstract: Dedicated to Professor Takashi Nishimura on the occasion of his 60th birthdaySummary. We study singularities of Gauss maps of (wave) fronts and give characterizations of singularities of Gauss maps by geometric properties of fronts which are related to behavior of bounded principal curvatures. Moreover, we investigate the relation between a kind of boundedness of Gaussian curvatures near cuspidal edges and types of singularities of their Gauss maps. Further, we consider extended height functions on fronts with… Show more

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