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

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

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.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of geometry 2021-12, Vol.112 (3), Article 39
Hauptverfasser: Saji, Kentaro, Teramoto, Keisuke
Format: Artikel
Sprache:eng
Schlagworte:
Geometry
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:0047-2468
1420-8997
DOI:10.1007/s00022-021-00605-3