Isometric actions on pseudo-Riemannian nilmanifolds

dc.creatordel Barco, Viviana Jorgelina
dc.creatorOvando, Gabriela Paola
dc.date.accessioned2017-12-06T17:11:31Z
dc.date.available2017-12-06T17:11:31Z
dc.date.created2017-12-06T17:11:31Z
dc.date.issued2014-02
dc.identifierdel Barco, Viviana Jorgelina; Ovando, Gabriela Paola; Isometric actions on pseudo-Riemannian nilmanifolds; Springer; Annals Of Global Analysis And Geometry; 45; 2; 2-2014; 95-110
dc.identifier0232-704X
dc.identifierhttp://hdl.handle.net/11336/29835
dc.identifierCONICET Digital
dc.identifierCONICET
dc.description.abstractThis work deals with the structure of the isometry group of pseudo-Riemannian 2-step nilmanifolds. We study the action by isometries of several groups and we construct examples showing substantial differences with the Riemannian situation; for instance, the action of the nilradical of the isometry group does not need to be transitive. For a nilpotent Lie group endowed with a left-invariant pseudo-Riemannian metric, we study conditions for which the subgroup of isometries fixing the identity element equals the subgroup of isometric automorphisms. This set equality holds for pseudo- HH -type Lie groups
dc.languageeng
dc.publisherSpringer
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10455-013-9389-6
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10455-013-9389-6
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectPseudo-Riemannian Nilmanifolds
dc.subjectNilpotent Lie Groups
dc.subjectIsometry Groups
dc.subjectBi-Invariant Metrics
dc.titleIsometric actions on pseudo-Riemannian nilmanifolds
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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