Arithmeticity of Totally Geodesic Lie Foliations with Locally Symmetric Leaves

  • R Quiroga-Barranco
  • Published 2007

Abstract

Zimmer [9] proved that, on a compact manifold, a foliation with a dense leaf, a suitable leafwise Riemannian symmetric metric and a transverse Lie structure has arithmetic holonomy group. In this work we improve such result for totally geodesic foliations by showing that the manifold itself is arithmetic. This also gives a positive answer, for some special… (More)

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