Isospectral nearly Kähler manifolds

José. J. Vásquez

Published 2016-07-07Version 1

We give a systematic way to construct finite almost conjugate pairs of subgroups of $\text{Spin(2n + 1)}$ and $\text{Pin(n)}$ for $n$ sufficiently large. As a geometric application, we give families of non isometric pairs of isospectral nearly K\"ahler manifolds for the Dirac and Laplace operator in dimensions higher than six