All Questions
4 questions with no upvoted or accepted answers
5
votes
0
answers
215
views
Singular foliations of $\mathbb{C}P^2$ that are compatible to Fubini-Study metric
Is there a complete classification of quadratic polynomial vector fields on $\mathbb{C}^2$ whose corresponding singular foliation of $\mathbb{C}P^2$ satisfies the property quoted below?
The regular ...
4
votes
0
answers
215
views
Kähler Cones in $\mathbb{C}^4$ and a foliation of $\mathbb{P}^3$
Take the 3-dimensional complex projective space $\mathbb{P}^3$. Consider the action of the group $SU(2)\times SU(2)$. I have read in physics related articles that these group gives a singular ...
3
votes
0
answers
85
views
Can a punctured ball $(B\setminus\{0\})\subset\mathbb{C}^n$ be foliated by complete leaves?
Recently Antonio Alarcón proved that in the case of the unit ball $B\subset\mathbb{C}^n$ for $n\geq 2$ every smooth closed complex submanifold of dimension $q\leq n$, $V\subset\mathbb{C}^n$ defines a ...
2
votes
0
answers
85
views
Holomorphic Foliations of 3-manifolds with boundary
Let $M$ be a 3-manifold $M$ with boundary $\partial M$, and endow $\partial M$ with the structure of a Riemann surface. Does there exist a foliation of $M$ by Riemann surfaces such that $\partial M$ ...