Uniformization of surface laminations

Alberto Candel

Displaying similar documents to “Uniformization of surface laminations”

Total curvature and volume of foliations on the sphere S 2

Amine Fawaz (2009)

Open Mathematics

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In this paper we study a curvature integral associated with a pair of orthogonal foliations on the Riemann sphere S 2 and we compute the minimal value of the volume of meromorphic foliations.

Uniformization of the leaves of a rational vector field

Alberto Candel, X. Gómez-Mont (1995)

Annales de l'institut Fourier

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We study the analytic structure of the leaves of a holomorphic foliation by curves on a compact complex manifold. We show that if every leaf is a hyperbolic surface then they can be simultaneously uniformized in a continuous manner. In case the manifold is complex projective space a sufficient condition is that there are no algebraic leaf.

Harmonic conformal flows on manifolds of constant curvature

Amine Fawaz (2007)

Open Mathematics

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We compute the energy of conformal flows on Riemannian manifolds and we prove that conformal flows on manifolds of constant curvature are critical if and only if they are isometric.

On the lenth spectrums of non-compact Riemann surfaces.

Liu, Lixin (1999)

Annales Academiae Scientiarum Fennicae. Mathematica

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Mean curvature functions for codimension-one foliations with all leaves compact

Paweł Grzegorz Walczak (1984)

Czechoslovak Mathematical Journal

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De Rham decomposition theorems for foliated manifolds

Robert A. Blumenthal, James J. Hebda (1983)

Annales de l'institut Fourier

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We prove that if $M$ is a complete simply connected Riemannian manifold and $F$ is a totally geodesic foliation of $M$ with integrable normal bundle, then $M$ is topologically a product and the two foliations are the product foliations. We also prove a decomposition theorem for Riemannian foliations and a structure theorem for Riemannian foliations with recurrent curvature.