Low-dimensional totally geodesic submanifolds in "skew" position in the symmetric spaces of rank 2
Abstract
We use the Cartan representations of SO(3) and SU(3), and an irreducible 14-dimensional representation of Sp(3) to construct certain totally geodesic submanifolds in "skew" position in the complex quadrics, the complex 2-Grassmannians and the quaternionic 2-Grassmannians.
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