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.

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Veröffentlicht in:Journal of geometry 2021-12, Vol.112 (3), Article 39
Hauptverfasser: Saji, Kentaro, Teramoto, Keisuke
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Sprache:eng
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Geometry
Mathematics
Mathematics and Statistics
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container_title Journal of geometry
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creator Saji, Kentaro
Teramoto, Keisuke
description 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.
doi_str_mv 10.1007/s00022-021-00605-3
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subjects Geometry
Mathematics
Mathematics and Statistics
title Behavior of principal curvatures of frontals near non-front singular points and their applications
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