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RIGIDITY OF CONVEX DIVISIBLE DOMAINS IN FLAG MANIFOLDS

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journal contribution
posted on 10.06.2019 by WOUTER VAN LIMBEEK, ANDREW ZIMMER
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 R2p 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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Copyright @ Mathematical Sciences Publishers.

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Van Limbeek, W., & Zimmer, A. (2019). Rigidity of convex divisible domains in flag manifolds. Geometry & Topology, 23(1), 171-240. doi:10.2140/gt.2019.23.171

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Mathematical Sciences Publishers

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en_US

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05/03/2019

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