Pages 491-529 from Volume 169 (2009), Issue 2 by Kentaro Saji, Masaaki Umehara, Kotaro Yamada
Abstract
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.
Received: 14 March 2005
Accepted: 28 February 2006
Published online: 8 March 2009
Authors
Kentaro Saji
Department of Mathematics
Gifu University
Gifu 501-1193
Japan
Masaaki Umehara
Department of Mathematics
Osaka University
Osaka 560-0043
Japan
Kotaro Yamada
Faculty of Mathematics
Kyushu University
Fukuoka 819-0395
Japan
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