dc.contributor.author | Rodríguez Valencia, Edwin Alejandro | |
dc.date.accessioned | 2022-01-13T15:09:11Z | |
dc.date.available | 2022-01-13T15:09:11Z | |
dc.date.issued | 2015 | |
dc.identifier.uri | http://hdl.handle.net/11086/22155 | |
dc.identifier.uri | http://dx.doi.org/10.5817/AM2015-1-27 | |
dc.description.abstract | Let (N, J) be a simply connected 2n-dimensional nilpotent Lie group endowed with an invariant complex structure. We define a left invariant Riemannian metric on N compatible with J to be minimal, if it minimizes the norm of the invariant part of the Ricci tensor among all compatible metrics with the same scalar curvature. In [7], J. Lauret proved that minimal metrics (if any) are unique up to isometry and scaling. This uniqueness allows us to distinguish two complex structures with Riemannian data, giving rise to a great deal of invariants. We show how to use a Riemannian invariant: the eigenvalues of the Ricci operator, polynomial invariants and discrete invariants to give an alternative proof of the pairwise non-isomorphism between the structures which have appeared in the classification of abelian complex structures on 6-dimensional nilpotent Lie algebras given in [1]. We also present some continuous families in dimension 8. | en |
dc.format.medium | Electrónico y/o Digital | |
dc.language.iso | eng | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.source | eISSN 1212-5059 | |
dc.subject | Complex | en |
dc.subject | Nilmanifolds | en |
dc.subject | Nilpotent Lie groups | en |
dc.subject | Minimal metrics | en |
dc.subject | Pfaffian forms | en |
dc.title | Invariants of complex structures on nilmanifolds | en |
dc.type | article | es |
dc.description.version | publishedVersion | es |
dc.description.fil | Fil: Rodríguez Valencia, Edwin Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. | es |
dc.description.fil | Fil: Rodríguez Valencia, Edwin Alejandro. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. | es |
dc.description.fil | Fil: Rodríguez Valencia, Edwin Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. | es |
dc.journal.country | República Checa | es |
dc.journal.editorial | Masaryk University | en |
dc.journal.number | 1 | es |
dc.journal.pagination | 27-50 | es |
dc.journal.referato | Con referato | |
dc.journal.title | Archivum Mathematicum | es |
dc.journal.volume | 51 | es |
dc.description.field | Matemática Pura | |