One-parameter family of Clairaut-Liouville metricsReportar como inadecuado

One-parameter family of Clairaut-Liouville metrics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

1 IMB - Institut de Mathématiques de Bourgogne Dijon 2 IRIT - Institut de recherche en informatique de Toulouse 3 Tokai University

Abstract : Riemannian metrics with singularities are considered on the $2$-sphere of revolution. The analysis of such singularities is motivated by examples stemming from mechanics and related to projections of higher dimensional regular sub-Riemannian distributions. An unfolding of the metrics in the form of an homotopy from the canonical metric on $\SS^2$ is defined which allows to analyze the singular case as a limit of standard Riemannian ones. A bifurcation of the conjugate locus for points on the singularity is finally exhibited.

Keywords : $2$-sphere of revolution unfolding space mechanics

Autor: Bernard Bonnard - Jean-Baptiste Caillau - Minoru Tanaka -



Documentos relacionados