RT Journal Article
T1 Isoparametric foliations on complex projective spaces
A1 Domínguez Vázquez, Miguel
AB Irreducible isoparametric foliations of arbitrary codimension q on complex projective spaces CP^n are classified, for (q, n) different from (1, 15). 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 CP^n 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.
PB American Mathematical Society
YR 2016
FD 2016
LK http://hdl.handle.net/10347/35018
UL http://hdl.handle.net/10347/35018
LA eng
NO Trans. Amer. Math. Soc. 368 (2016), no. 2, 1211-1249
DS Minerva
RD 28 abr 2026