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arXiv · 1304.3202

Ergodicity of laminations with singularities in Kähler surfaces

Carlos Pérez-Garrandés
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Abstract

If $\mathcal{L}$ is a laminations with hyperbolic singularities, embedded in a compact homogeneous Kähler surface, without directed closed positive currents. Then, $\mathcal{L}$ has a unique directed positive harmonic current of mass one. This result was previously obtained by Fornaess and Sibony for $\mathbb{CP}^2$ and we generalize it for the rest of compact homogeneous Kähler surfaces.

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Carlos Pérez-Garrandés. 2013-05-07. Ergodicity of laminations with singularities in Kähler surfaces. https://doi.org/10.1007/s00209-013-1175-4

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