Isoparametric foliations on complex projective spaces

Details Isoparametric foliations on complex projective spaces Isoparametric foliations on complex projective spaces

2012-04-16

arxiv.org/abs/1204.3428v1

Mathematics

Differential Geometry

Scientific paper

Irreducible isoparametric foliations of arbitrary codimension q on complex projective spaces CP^n are classified, except if n=15 and q=1. Remarkably, there are noncongruent examples that pull back under the Hopf map to congruent foliations on the sphere. Moreover, there exist many inhomogeneous isoparametric foliations, even of higher codimension. In fact, every irreducible isoparametric foliation on the complex projective n-space is homogeneous if and only if n+1 is prime. The main tool developed in this work is a method to study singular Riemannian foliations with closed leaves on complex projective spaces. This method is based on certain graph that generalizes extended Vogan diagrams of inner symmetric spaces.

Affiliated with

Also associated with

No associations

Rating

Isoparametric foliations on complex projective spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Isoparametric foliations on complex projective spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Isoparametric foliations on complex projective spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-6246