2 citations · 8 across the 13 of their papers we have counts for
15 papers · 1 filter
Realization of manifolds as leaves using graph colorings
Jesús A. Álvarez López, Ramón Barral Lijó
It is proved that any (repetitive) Riemannian manifold of bounded geometry can be realized as a leaf of some (minimal) Riemannian matchbox manifold without holonomy. Our methods ca…
Molino's description and foliated homogeneity
Jesús A. Álvarez López, Ramón Barral Lijó
The topological Molino's description of equicontinuous foliated spaces, studied by the first author and Moreira Galicia, gives conditions to reduce their study to the particular ca…
Bounded geometry and leaves
Jesús A. Álvarez López, Ramón Barral Lijó
The main theorem states that any complete connected Riemannian manifold of bounded geometry can be isometrically realized as a leaf with trivial holonomy in a compact Riemannian fo…
Non-reduction of relations in the Gromov space to Polish actions
Jesús A. Álvarez López, Alberto Candel
It is shown that, in the Gromov space of isometry classes of pointed proper metric spaces, the equivalence relations defined by existence of coarse quasi-isometries or being at fin…
A universal Riemannian foliated space
Jesús A. Álvarez López, Ramón Barral Lijó, Alberto Candel
It is proved that the isometry classes of pointed connected complete Riemannian -manifolds form a Polish space, , with the topology described by the $C^…
Generic coarse geometry of leaves
Jesús A. Álvarez López, Alberto Candel
A compact Polish foliated space is considered. Part of this work studies coarsely quasi-isometric invariants of leaves in some residual saturated subset when the foliated space is…
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…
On the first secondary invariant of Molino's central sheaf
Jesús A. Álvarez López
For a Riemannian foliation on a closed manifold, the first secondary invariant of Molino's central sheaf is an obstruction to tautness. Another obstruction is the class defined by…
Morphisms between complete Riemannian pseudogroups
Jesús A. Álvarez López, Xosé M. Masa
We introduce the concept of morphism of pseudogroups generalizing the étalé morphisms of Haefliger. With our definition, any continuous foliated map induces a morphism between the…
Topological description of Riemannian foliations with dense leaves
Jesús A. Álvarez López, Alberto Candel
A transitive compact foliated space is shown to be a Riemannian foliation if and only if it is locally connected, finite dimensional, strongly equicontinuous and quasi-analytic, an…
Equicontinuous foliated spaces
Jesús A. Álvarez López, Alberto Candel
Some properties of Riemannian foliations on closed manifolds are generalized to compact equicontinuous foliated spaces. For instance, it is proved that all holonomy covers of the l…
Riemannian foliations of bounded geometry
Jesús A. Álvarez López, Yuri A. Kordyukov, Eric Leichtnam
Continuing the study of bounded geometry for Riemannian foliations, begun by Sanguiao, we introduce a chart-free definition of this concept. Our main theorem states that it is equi…
Topological Molino's theory
Jesús A. Álvarez López, Manuel F. Moreira Galicia
Molino's description of Riemannian foliations on compact manifolds is generalized to the setting of compact equicontinuous foliated spaces, in the case where the leaves are dense.…
Growth of some transversely homogeneous foliations
Jesús A. Álvarez López, Robert Wolak
For transversely homogeneous foliations on compact manifolds whose global holonomy group has connected closure, it is shown that either all holonomy covers of the leaves have polyn…
Secondary characteristic classes of transversely homogeneous foliations
Jesús A. Álvarez López, Hiraku Nozawa
Let G be a simple Lie group of real rank one, and S the ideal boundary of the corresponding symmetric space of noncompact type (H^n_R, H^n_C, H^n_H or H^2_O). We show the finitenes…