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The canonical 8-form on manifolds with holonomy group Spin(9)
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The canonical 8-form on manifolds with holonomy group Spin(9)
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The canonical 8-form on manifolds with holonomy group Spin(9)
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Paper
The canonical 8-form on manifolds with holonomy group Spin(9)
2009
Overview
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.
Publisher
Cornell University Library, arXiv.org
Subject
