Ambrozio, Lucas and Nunes, Ivaldo (2018) A gap theorem for free boundary minimal surfaces in the three-ball. Communications in Analysis and Geometry, 28 . pp. 3171-3182. doi:10.1007/s12220-017-9953-6 ISSN 1019-8385.

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Abstract

We show that, among free boundary minimal surfaces in the unit ball in the three-dimensional Euclidean space, the flat equatorial disk and the critical catenoid are characterised by a pinching condition on the length of their second fundamental form.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Surfaces, Topological spaces
Journal or Publication Title:	Communications in Analysis and Geometry
Publisher:	International Press
ISSN:	1019-8385
Official Date:	15 December 2018
Dates:	Date Event 15 December 2018 Published 30 October 2017 Available 22 August 2017 Accepted
Volume:	28
Page Range:	pp. 3171-3182
DOI:	10.1007/s12220-017-9953-6
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	29 August 2018
Date of first compliant Open Access:	29 August 2018
RIOXX Funder/Project Grant:	Project/Grant ID RIOXX Funder Name Funder ID Start Grant PSC European Research Council http://viaf.org/viaf/130022607 LMCF 278940 European Research Council http://viaf.org/viaf/130022607 UNSPECIFIED Conselho Nacional de Desenvolvimento Científico e Tecnológico http://dx.doi.org/10.13039/501100003593 UNSPECIFIED Fundação de Amparo à Pesquisa e ao Desenvolvimento Científico e Tecnológico do Maranhão http://dx.doi.org/10.13039/501100003758
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