1. On Gaussian curvatures and singularities of Gauss maps of cuspidal edges
- Author
-
Keisuke Teramoto
- Subjects
Mathematics - Differential Geometry ,Cusp (singularity) ,Pure mathematics ,Gauss map ,Mathematics::Number Theory ,General Mathematics ,Gaussian ,Gauss ,Negativity effect ,symbols.namesake ,Differential Geometry (math.DG) ,FOS: Mathematics ,57R45, 53A05, 53A55 ,symbols ,Gaussian curvature ,Gravitational singularity ,Mathematics ,Sign (mathematics) - Abstract
We show relation between sign of Gaussian curvature of cuspidal edge and geometric invariants through types of singularities of Gauss map. Moreover, we define and characterize positivity/negativity of cusps of Gauss maps by geometric invariants of cuspidal edges, and show relation between sign of cusps and of the Gaussian curvature., Comment: 12 pages, 14 figures
- Published
- 2021
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