The Calabi-Yau conjectures for embedded surfaces

Simple item page
dc.creatorColding, Tobias H.
dc.creatorMinicozzi II, William P.
dc.date2004-04-09
dc.date2006-11-07
dc.date.accessioned2026-07-07T06:36:41Z
dc.date.available2026-07-07T06:36:41Z
dc.descriptionIn this paper we will prove the Calabi-Yau conjectures for embedded surfaces. In fact, we will prove considerably more. The Calabi-Yau conjectures about surfaces date back to the 1960s. Much work has been done on them over the past four decades. In particular, examples of Jorge-Xavier from 1980 and Nadirashvili from 1996 showed that the immersed versions were false; we will show here that for embedded surfaces, i.e., injective immersions, they are in fact true.
dc.descriptionTo appear in the Annals of Mathematics. Two figures added and introduction expanded
dc.identifierhttps://arxiv.org/abs/math/0404197
dc.identifierhttp://arxiv.org/abs/math/0404197
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100166
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.titleThe Calabi-Yau conjectures for embedded surfaces
dc.typetext

Files

Collections

arXiv