The surfaces capable of division into Infinitesimal Squares by their Curves of Curvature

Simple item page
dc.creatorHertrich-Jeromin, Udo
dc.date1997-08-01
dc.date2000-06-22
dc.date.accessioned2026-07-07T09:02:53Z
dc.date.available2026-07-07T09:02:53Z
dc.descriptionClassically, isothermic surfaces are characterized as those surfaces which are "divisible into infinitesimal squares by their curvature lines". This characterization is the direct analogue to the definition of discrete isothermic nets. In order to understand the relations between the discrete and the smooth theory better, it is described how to give the classical characterization a rigorous meaning in the sense of modern differential geometry.
dc.descriptionThe paper has been withdrawn. It contains a crucial error in the definition of a continuously differentiable submanifold
dc.identifierhttps://arxiv.org/abs/dg-ga/9708003
dc.identifierhttp://arxiv.org/abs/dg-ga/9708003
dc.identifierMath. Intell. 22 (2000) 54-61
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148802
dc.subjectDifferential Geometry
dc.titleThe surfaces capable of division into Infinitesimal Squares by their Curves of Curvature
dc.typetext

Files

Collections

arXiv