Feuilletage lisse de $S^5$ par surfaces complexes
Guillaume Deschamps
TL;DR
This paper improves a previous construction of a smooth foliation on the 5-sphere by complex surfaces, reducing the number of compact leaves from two to one, thus advancing the understanding of complex foliations on spheres.
Contribution
It presents a new construction of a smooth foliation on the 5-sphere by complex surfaces with only one compact leaf, refining prior work by Meersseman-Verjovsky.
Findings
Constructed a smooth foliation with a single compact leaf
Enhanced the understanding of complex surface foliations on spheres
Provided a new method for reducing compact leaves in foliations
Abstract
In 2002 Meersseman-Verjovsky [2] constructed a smooth, codimension-one, foliation on 5-sphere by complex surfaces with two compact leaves. The aim of this note is to improve their construction in order to give a smooth foliation on 5-sphere by complex surfaces with only one compact leaf.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Geometric Analysis and Curvature Flows