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  • Work
    Article
    Candel, Alberto
    Riemannian foliations are characterized as those foliations whose holonomy pseudogroup consists of local isometries of a Riemannian manifold. Their main structural features are well understood since the work of Molina. In this paper we analyze the mor . . .
  • Ng451m50t?file=thumbnail
    Article
    Candel, Alberto
    A foliation is called Riemannian if its holonomy pseudogroup consists of local isometries for some Riemannian metric. By combining the work on Hilbert's fifth problem for local groups with our work on equicontinuous foliated spaces, we prove that, if . . .
  • Work
    Article
    Candel, Alberto
    The purpose of this article is to characterize the quasi-isometry type of a proper metric space via the Banach algebra of Higson functions on it.
  • 0r967669n?file=thumbnail
    Article
    Candel, Alberto
    This paper gives an upper bound for the first eigenvalue of the universal cover of a complete, stable minimal surface in hyperbolic space, and a sharper one for least area disks.
  • M326m4429?file=thumbnail
    Article
    Candel, Alberto
    It is proved that the isometry classes of pointed connected complete Riemannian n-manifolds form a Polish space, M∞∗ (n), with the topology described by the C∞ convergence of manifolds. This space has a canonical partition into sets defined by varying . . .
  • Work
    Article
    Candel, Alberto
    For geometric structures of type Q, we prove that being rigid depends only on the stabilizers for the action on Q. We also prove that to any rigid structure we can associate a ‘‘natural’’ parallelism. Moreover, if the rigid structure is analytic, then . . .
  • P2676z228?file=thumbnail
    Article
    Candel, Alberto
    This paper presents an improved approach to the theory of harmonic measures for foliated spaces introduced by Garnett. This approach is based on a method for solving elliptic equations on foliated...