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Coeffective Numbers of Riemannian 8-Manifolds with Holonomy in Spin(7)

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Abstract

We introduce a differential complex of coeffective type for anySpin(7)-manifold M locally conformal to aRiemannian 8-manifold with holonomy contained in Spin(7).Local properties of this complex, such as ellipticity and acyclicity,are studied. The relationship between the coeffective cohomology ofM and the topology of the manifold is discussed in the caseof M having a subgroup of Spin(7) as aholonomy group.

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  1. Departamento de Matemáticas, Facultad de Ciencias, Universidad de Zaragoza, Campus Plaza San Francisco, 50009, Zaragoza, Spain

    Luis Ugarte

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  1. Luis Ugarte
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Ugarte, L. Coeffective Numbers of Riemannian 8-Manifolds with Holonomy in Spin(7). Annals of Global Analysis and Geometry 19, 35–53 (2001). https://doi.org/10.1023/A:1006781321902

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