Polar foliations on quaternionic projective spaces [article]

Miguel Dominguez-Vazquez, Claudio Gorodski
2015 arXiv   pre-print
We classify irreducible polar foliations of codimension q on quaternionic projective spaces H P^n, for all (n,q)≠(7,1). We prove that all irreducible polar foliations of any codimension (resp. of codimension one) on 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.
arXiv:1507.02720v1 fatcat:gkqoawwsrfd2jgbq5lmvjdedjm