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math.DG2020
Non-unimodular transversely homogeneous foliations
E. Macías-Virgós, P. L. Martín-Méndez
We give sufficient conditions for the tautness of a transversely homogenous foliation defined on a compact manifold, by computing its base-like cohomology. As an application, we pr…
math.DG2020
Non-linear Morse-Bott functions on quaternionic Stiefel manifolds
Enrique Macías-Virgós, María José Pereira-Sáez, Daniel Tanré
In the Stiefel manifold , we replace Frankel linear height function by a quadratic one. We prove this is still a Morse-Bott function, whose structure of critical levels pr…
math.DG2008
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…