Smoothly bounded domains covering finite volume manifolds
نویسندگان
چکیده
In this paper we prove: if a bounded domain with $C^2$ boundary covers manifold which has finite volume respect to either the Bergman volume, Kähler–Einstein or Kobayashi–Eisenman then is biholomorphic unit ball. This answers question attributed Yau. Further, when convex can assume that only $C^{1,\epsilon}$ regularity.
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 2021
ISSN: ['1945-743X', '0022-040X']
DOI: https://doi.org/10.4310/jdg/1631124346