Geodesic
The geometry of fronts
Kentaro Saji1 ; Masaaki Umehara2 ; Kotaro Yamada3
1 Department of Mathematics<br/>Gifu University<br/>Gifu 501-1193<br/>Japan
2 Department of Mathematics<br/>Osaka University<br/>Osaka 560-0043<br/>Japan
3 Faculty of Mathematics<br/>Kyushu University<br/> Fukuoka 819-0395<br/>Japan
Annals of mathematics, Tome 169 (2009) no. 2, pp. 491-529.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We shall introduce the singular curvature function on cuspidal edges of surfaces, which is related to the Gauss-Bonnet formula and which characterizes the shape of cuspidal edges. Moreover, it is closely related to the behavior of the Gaussian curvature of a surface near cuspidal edges and swallowtails.
DOI : 10.4007/annals.2009.169.491

Kentaro Saji 1 ; Masaaki Umehara 2 ; Kotaro Yamada 3

1 Department of Mathematics<br/>Gifu University<br/>Gifu 501-1193<br/>Japan
2 Department of Mathematics<br/>Osaka University<br/>Osaka 560-0043<br/>Japan
3 Faculty of Mathematics<br/>Kyushu University<br/> Fukuoka 819-0395<br/>Japan 
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Kentaro Saji; Masaaki Umehara; Kotaro Yamada. The geometry of fronts. Annals of mathematics, Tome 169 (2009) no. 2, pp. 491-529. doi : 10.4007/annals.2009.169.491. http://geodesic.mathdoc.fr/articles/10.4007/annals.2009.169.491/

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