Behavior of principal curvatures of frontals near non-front singular points and their applications

Authors :: Kentaro Saji
Keisuke Teramoto
Source :: Journal of Geometry. 112
Publication Year :: 2021
Publisher :: Springer Science and Business Media LLC, 2021.
Abstract: We investigate behavior of principal curvatures and principal vectors near a non-degenerate singular point of the first kind of frontals. As an application, we extend the notion of Ribaucour transformations to frontals with singular points.

Subjects :: Quantitative Biology::Neurons and Cognition
Principal curvature
Computer Science::Computer Vision and Pattern Recognition
Physics::Medical Physics
Principal (computer security)
Front (oceanography)
Geometry
Mathematics::Differential Geometry
Geometry and Topology
Singular point of a curve
Mathematics

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