Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/36930
Registo completo
Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Ferreira, Ana Cristina | por |
dc.contributor.author | Agricola, Ilka | por |
dc.contributor.author | Storm, Reinier | por |
dc.date.accessioned | 2015-09-09T11:21:05Z | - |
dc.date.available | 2015-09-09T11:21:05Z | - |
dc.date.issued | 2015-05 | - |
dc.date.submitted | 2014-12 | - |
dc.identifier.issn | 0219-8878 | por |
dc.identifier.issn | 1793-6977 | por |
dc.identifier.uri | https://hdl.handle.net/1822/36930 | - |
dc.description.abstract | In this paper, we describe the geometry of the quaternionic Heisenberg groups from a Riemannian viewpoint. We show, in all dimensions, that they carry an almost 3- contact metric structure which allows us to define the metric connection that equips these groups with the structure of a naturally reductive homogeneous space. It turns out that this connection, which we shall call the canonical connection because of its analogy to the 3-Sasaki case, preserves the horizontal and vertical distributions and even the quaternionic contact (qc) structure of the quaternionic Heisenberg groups. We focus on the 7-dimensional case and prove that the canonical connection can also be obtained by means of a cocalibrated G2 structure. We then study the spinorial properties of this group and present the noteworthy fact that it is the only known example of a manifold which carries generalized Killing spinors with three different eigenvalues. | por |
dc.description.sponsorship | DFG (Alemanha) | por |
dc.language.iso | eng | por |
dc.publisher | World Scientific Publishing | por |
dc.relation | Fundação para a Ciência e Tecnologia | por |
dc.rights | restrictedAccess | por |
dc.subject | Quaternionic Heisenberg groups | por |
dc.subject | naturally reductive homogeneous spaces | por |
dc.subject | generalized Killing spinors | por |
dc.title | Quaternionic Heisenberg groups as naturally reductive homogeneous spaces | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | http://www.worldscientific.com/doi/abs/10.1142/S0219887815600075 | por |
sdum.publicationstatus | published | por |
oaire.citationIssue | 8 | por |
oaire.citationTitle | International Journal of Geometric Methods in Modern Physics | por |
oaire.citationVolume | 12 | por |
dc.identifier.doi | 10.1142/S0219887815600075 | por |
dc.subject.fos | Ciências Naturais::Matemáticas | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | International Journal of Geometric Methods in Modern Physics | por |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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proceeding-neutral.pdf Acesso restrito! | Documento principal | 138,28 kB | Adobe PDF | Ver/Abrir |