Kobayashi pseudometric on hyperkähler manifolds
نویسندگان
چکیده
منابع مشابه
Kobayashi pseudometric on hyperkähler manifolds
The Kobayashi pseudometric on a complex manifold M is the maximal pseudometric such that any holomorphic map from the Poincaré disk to M is distance-decreasing. Kobayashi has conjectured that this pseudometric vanishes on Calabi-Yau manifolds. Using ergodicity of complex structures, we prove this result for any hyperkähler manifold if it admits a deformation with a Lagrangian fibration, and its...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2014
ISSN: 0024-6107
DOI: 10.1112/jlms/jdu038