Regularization and minimization of Gamma1-structures

Details Regularization and minimization of Gamma1-structures Regularization and minimization of Gamma1-structures

2009-04-19

arxiv.org/abs/0904.2912v4

Mathematics

Geometric Topology

Lemma 2.9, which was not fully correct in the previous version, has been corrected. Proposition 2.29 and the end of the proof

Scientific paper

We prove the existence of a minimal (all leaves dense) foliation of codimension one, on every closed manifold of dimension at least 4 whose Euler characteristic is null, in every homotopy class of hyperplanes distributions, in every homotopy class of Haefliger structures, in every differentiability class, under the obvious embedding assumption. The proof uses only elementary means, and reproves Thurston's existence theorem in all dimensions. A parametric version is also established.

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