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arXiv · 2105.00787

Linear perturbations of metrics with holonomy Spin(7)

Diego Conti·Daniel Perolini
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Abstract

We apply the method of linear perturbations to the case of Spin(7)-structures, showing that the only nontrivial perturbations are those determined by a rank one nilpotent matrix. We consider linear perturbations of the Bryant-Salamon metric on the spin bundle over $S^4$ that retain invariance under the action of Sp(2), showing that the metrics obtained in this way are isometric.

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BibTeXRIS

Diego Conti, Daniel Perolini. 2021-05-03. Linear perturbations of metrics with holonomy Spin(7). https://doi.org/10.1016/j.difgeo.2021.101792

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