Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/36930
Título: | Quaternionic Heisenberg groups as naturally reductive homogeneous spaces |
Autor(es): | Ferreira, Ana Cristina Agricola, Ilka Storm, Reinier |
Palavras-chave: | Quaternionic Heisenberg groups naturally reductive homogeneous spaces generalized Killing spinors |
Data: | Mai-2015 |
Editora: | World Scientific Publishing |
Revista: | International Journal of Geometric Methods in Modern Physics |
Resumo(s): | 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. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/36930 |
DOI: | 10.1142/S0219887815600075 |
ISSN: | 0219-8878 1793-6977 |
Versão da editora: | http://www.worldscientific.com/doi/abs/10.1142/S0219887815600075 |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
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 |