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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
1
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Finite subgroups of Spin(9)
After some thinking, I came up with the following very partial answer, that I put here as a reference.
Consider the diagonal inclusion of $\text{Sp}(1)$ in $\text{Spin}(9)$ given by sending a unitary …
3
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2
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Finite subgroups of Spin(9)
I'm trying to classify compact manifolds $M^{16}$ with a metric which is locally conformal to a (local) metric with holonomy (included in) Spin(9)$\subset$SO(16). To do this, I would need a complete l …