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arXiv · 1507.02720

Polar foliations on quaternionic projective spaces

Miguel Dominguez-Vazquez·Claudio Gorodski
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Abstract

We classify irreducible polar foliations of codimension $q$ on quaternionic projective spaces $\mathbb H P^n$, for all $(n,q)\neq(7,1)$. We prove that all irreducible polar foliations of any codimension (resp. of codimension one) on $\mathbb H P^n$ are homogeneous if and only if $n+1$ is a prime number (resp. $n$ is even or $n=1$). This shows the existence of inhomogeneous examples of codimension one and higher.

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Miguel Dominguez-Vazquez, Claudio Gorodski. 2015-07-09. Polar foliations on quaternionic projective spaces. https://arxiv.org/abs/1507.02720

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