4 citations · 4 across the 3 of their papers we have counts for
4 papers
The dimension of the leafwise reduced cohomology
Jesús A. Álvarez López, Gilbert Hector
Geometric conditions are given so that the leafwise reduced cohomology is of infinite dimension, specially for foliations with dense leaves on closed manifolds. The main new defini…
Integrable embeddings and foliations
Gilbert Hector, Daniel Peralta-Salas
A k-submanifold L of an open n-manifold M is called weakly integrable (WI) [resp. strongly integrable (SI)] if there exists a submersion Φ:M\to R^{n-k} such that L\subset Φ^{-1}(0)…
De Rham cohomology of diffeological spaces and foliations
G. Hector, E. Macías-Virgós, E. Sanmartín-Carbón
Let be a foliated manifold. We prove that there is a canonical isomorphism between the complex of base-like forms of the foliation and the…
The diffeomorphism group of a Lie foliation
G. Hector, E. Macías-Virgós, A. Sotelo-Armesto
We explicitly compute the diffeomorphism group of several types of linear foliations (with dense leaves) on the torus , , namely codimension one foliations, flows, an…