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Linear perturbations of metrics with holonomy Spin(7)

64   0   0.0 ( 0 )
 نشر من قبل Diego Conti
 تاريخ النشر 2021
  مجال البحث
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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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