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Título: | The canonical 8-form on manifolds with holonomy group Spin(9) |
Autor: | Castrillón López, Marco; Gadea, Pedro M. CSIC ORCID; Mykytyuk, Ihor V. | Palabras clave: | Canonical 8-form on a Spin(9)-manifold Curvature tensor of the Cayley planes Spin representation of Spin(9) |
Fecha de publicación: | 4-nov-2009 | Editor: | World Scientific Publishing | Citación: | International Journal of Geometric Methods in Modern Physics 7(7): 1159-1183 (2010) | Resumen: | An explicit expression of the canonical 8-form on a Riemannian manifold with a Spin(9)-structure, in terms of the nine local symmetric involutions involved, is given. The list of explicit expressions of all the canonical forms related to Berger's list of holonomy groups is thus completed. Moreover, some results on Spin(9)-structures as G-structures defined by a tensor and on the curvature tensor of the Cayley planes, are obtained. | Versión del editor: | http://dx.doi.org/10.1142/S0219887810004786 | URI: | http://hdl.handle.net/10261/18299 | DOI: | 10.1142/S0219887810004786 | ISSN: | 0219-8878 |
Aparece en las colecciones: | (CFMAC-IFF) Artículos |
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Eightf_CGM.PDF | 267,88 kB | Adobe PDF | Visualizar/Abrir |
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