Immersions with fractal set of points of zero Gauss-Kronecker curvature

Simple item page
dc.creatorArbieto, Alexander
dc.creatorMatheus, Carlos
dc.date2003-04-11
dc.date.accessioned2026-07-07T04:56:47Z
dc.date.available2026-07-07T04:56:47Z
dc.descriptionWe construct, for any ``good'' Cantor set $F$ of $S^{n-1}$, an immersion of the sphere $S^n$ with set of points of zero Gauss-Kronecker curvature equal to $F\times D^{1}$, where $D^{1}$ is the 1-dimensional disk. In particular these examples show that the theorem of Matheus-Oliveira strictly extends two results by do Carmo-Elbert and Barbosa-Fukuoka-Mercuri.
dc.description13 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0304153
dc.identifierhttp://arxiv.org/abs/math/0304153
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67053
dc.subjectDifferential Geometry
dc.subject53C42
dc.titleImmersions with fractal set of points of zero Gauss-Kronecker curvature
dc.typetext

Files

Collections

arXiv