dc.creator | Chen, Bang-Yen | es |
dc.creator | Prieto Martín, Alicia | es |
dc.creator | Wang, Xianfeng | es |
dc.date.accessioned | 2016-06-22T10:05:46Z | |
dc.date.available | 2016-06-22T10:05:46Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Chen, B., Prieto Martín, A. y Wang, X. (2013). Lagrangian submanifolds in complex space forms satisfying an improved equality involving δ(2,2). Publicationes Mathematicae, 82 (1), 193-217. | |
dc.identifier.issn | 2064-2849 | es |
dc.identifier.issn | 0033-3883 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42617 | |
dc.description.abstract | It was proved in [8, 9] that every Lagrangian submanifold M of a complex space form M˜ 5 (4c) of constant holomorphic sectional curvature 4c satisfies the following optimal inequality: δ(2, 2) ≤ 25 4 H 2 + 8c, (A) where H
2 is the squared mean curvature and δ(2, 2) is a δ-invariant on M introduced by the first author. This optimal inequality improves a special case of an earlier inequality obtained in [B.-Y. Chen, Japan. J. Math. 26 (2000), 105-127]. The main purpose of this paper is to classify Lagrangian submanifolds
of M˜ 5 (4c) satisfying the equality case of the improved inequality (A). | es |
dc.description.sponsorship | Fundación Cámara (Universidad de Sevilla) | es |
dc.description.sponsorship | National Natural Science Foundation of China | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Institutum Mathematicum Universitatis Debreceniesis | es |
dc.relation.ispartof | Publicationes Mathematicae, 82 (1), 193-217. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Lagrangian submanifold | es |
dc.subject | improved inequality | es |
dc.subject | δ-invariants | es |
dc.subject | ideal submanifolds | es |
dc.subject | H-umbilical Lagrangian submanifold | es |
dc.title | Lagrangian submanifolds in complex space forms satisfying an improved equality involving δ(2,2) | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Geometría y Topología | es |
dc.relation.projectID | 11171175 | es |
dc.identifier.doi | http://dx.doi.org/10.5486/PMD.2013.5405 | es |
idus.format.extent | 25 p. | es |
dc.journaltitle | Publicationes Mathematicae | es |
dc.publication.volumen | 82 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 193 | es |
dc.publication.endPage | 217 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42617 | |
dc.contributor.funder | Universidad de Sevilla | |
dc.contributor.funder | National Natural Science Foundation of China | |