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arXiv · 1510.04118

Rigidity of convex divisible domains in flag manifolds

Wouter van Limbeek·Andrew Zimmer
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Abstract

In contrast to the many examples of convex divisible domains in real projective space, we prove that up to projective isomorphism there is only one convex divisible domain in the Grassmannian of $p$-planes in $\mathbb{R}^{2p}$ when $p > 1$. Moreover, this convex divisible domain is a model of the symmetric space associated to the simple Lie group SO$(p, p)$.

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Wouter van Limbeek, Andrew Zimmer. 2015-10-14. Rigidity of convex divisible domains in flag manifolds. https://doi.org/10.2140/gt.2019.23.171

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