Liouville and Carathéodory coverings in Riemannian and complex geometry
Lin, Vladimir · Zaidenberg, Mikhail
الأصل · EN
A Riemannian manifold resp. a complex space X is called Liouville if it carries no nonconstant bounded harmonic resp. holomorphic functions. It is called Carathéodory, or Carathéodory hyperbolic, if bounded harmonic resp. holomorphic functions separate the points of X. The problems which we discuss in this paper arise from the following question: When a Galois covering X with Galois group G over a Liouville base Y is Liouville or, at least, is not Carathéodory hyperbolic?
الترجمة العربية
لا توجد ترجمة عربية لهذا البحث بعد. كن أوّل من يطلبها: تستغرق ثوانيَ معدودة، وتُحفظ النتيجة لكل قارئ قادم.