dc.date.accessioned | 2019-10-24T14:44:12Z | |
dc.date.available | 2019-10-24T14:44:12Z | |
dc.date.issued | 2013 | |
dc.identifier.uri | http://publications.mfo.de/handle/mfo/3368 | |
dc.description.abstract | The Willmore functional evaluated on a surface immersed into Euclidean space is given by the $L^2$-norm of its mean curvature. The interest for studying this functional comes from various directions. First, it arises in applications from biology and physics, where it is used to model surface tension in the Helfrich model for bilipid layers, or in General Relativity where it appears in Hawking’s quasi-local mass. Second, the mathematical properties justify consideration of the Willmore functional in its own right. The Willmore functional is one of the most natural extrinsic curvature functionals for immersions. Its critical points solve a fourth order Euler-Lagrange equation, which has all minimal surfaces as solutions. | |
dc.title | Mini-Workshop: The Willmore Functional and the Willmore Conjecture | |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | de |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | en |
dc.identifier.doi | 10.14760/OWR-2013-37 | |
local.series.id | OWR-2013-37 | |
local.subject.msc | 58 | |
local.subject.msc | 49 | |
local.subject.msc | 53 | |
local.subject.msc | 35 | |
local.sortindex | 808 | |
local.date-range | 21 Jul - 27 Jul 2013 | |
local.workshopcode | 1330b | |
local.workshoptitle | Mini-Workshop: The Willmore Functional and the Willmore Conjecture | |
local.organizers | Tobias Lamm, Karlsruhe; Jan Metzger, Potsdam; Andre Neves, London | |
local.report-name | Workshop Report 2013,37 | |
local.opc-photo-id | 1330b | |
local.publishers-doi | 10.4171/OWR/2013/37 | |
local.ems-reference | Lamm Tobias, Metzger Jan, Neves André: Mini-Workshop: The Willmore Functional and the Willmore Conjecture. Oberwolfach Rep. 10 (2013), 2119-2153. doi: 10.4171/OWR/2013/37 | |