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On Gaussian curvatures and singularities of Gauss maps of cuspidal edges.

Authors :
Keisuke Teramoto
Source :
Portugaliae Mathematica. 2021, Vol. 78 Issue 2, p169-185. 17p.
Publication Year :
2021

Abstract

We show a relation between sign of Gaussian curvature of a cuspidal edge and geometric invariants via singularities of Gauss maps. Moreover, we define and characterize positivity/negativity of cusps of Gauss maps by geometric invariants, and show a relation between the signs of cusps and the Gaussian curvature. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00325155
Volume :
78
Issue :
2
Database :
Academic Search Index
Journal :
Portugaliae Mathematica
Publication Type :
Academic Journal
Accession number :
153349374
Full Text :
https://doi.org/10.4171/PM/2065