E. Mac'ias-Virg'os

collaborators

4 papers

math.RA2009

Symplectic matrices with predetermined left eigenvalues

E. Macías-Virgós, M. J. Pereira-Sáez

We prove that given four arbitrary quaternion numbers of norm 1 there always exists a $2 \times 2$ symplectic matrix for which those numbers are left eigenvalues. The proof is const…

math.AT2008

A cohomological lower bound for the transverse LS category of a foliated manifold

E. Macías-Virgós

Let $F$ be a compact Hausdorff foliation on a compact manifold. Let $E_{2}^{> 0, ∙} = \oplus {E_{2}^{p, q} : p > 0, q \geq 0}$ be the subalgebra of cohomology classes wit…

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 $T^{n}$ , $n \geq 2$ , namely codimension one foliations, flows, an…

math.RA2008

Left eigenvalues of $2 \times 2$ symplectic matrices