Tree-like curves and their inflection points

dc.creatorShapiro, Boris
dc.date1997-08-12
dc.date.accessioned2026-07-07T09:13:17Z
dc.date.available2026-07-07T09:13:17Z
dc.descriptionWe give a criterion when a planar tree-like curve, i.e. a generic immersed plane curve each double point of which cuts it into two disjoint parts, can be send by a diffeomorphism of the plane onto a curve with no inflection points. We also present some upper and lower bounds for the minimal number of inflection points on such curves unremovable by diffeomorphisms of the plane in terms of their combinatorics.
dc.descriptionAMSTeX-file with 10 pictures enclosed as eps-files, 18 pages, to appear in the AMS-volume on knots and curves, editor S.Tabachnikov, also available at the homepage http://www.matematik.su.se/~shapiro/
dc.identifierhttps://arxiv.org/abs/dg-ga/9708009
dc.identifierhttp://arxiv.org/abs/dg-ga/9708009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152275
dc.subjectDifferential Geometry
dc.titleTree-like curves and their inflection points
dc.typetext

Files

Collections