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The Canonical 8-form on Manifolds with Holonomy Group Spin(9)

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Castrillón López, Marco and Martínez Gadea, Pedro and Mykytyuk, I.V. (2010) The Canonical 8-form on Manifolds with Holonomy Group Spin(9). International Journal of Geometric Methods in Modern Physics, 7 (7). pp. 1159-1183. ISSN 0219-8878

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Official URL: http://www.worldscientific.com/toc/ijgmmp/07/07


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Abstract

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.


Item Type:Article
Uncontrolled Keywords:Canonical 8-form on a Spin(9)-Manifold; Curvature Tensor of the Cayley Planes; Basic Spin Representation of Spin(9)
Subjects:Sciences > Mathematics > Differential geometry
ID Code:21735
Deposited On:07 Jun 2013 14:14
Last Modified:10 Aug 2018 08:16

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