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A Liouville Property of Holomorphic Maps

We prove a Liouville property of holomorphic maps from a complete Kähler manifold with nonnegative holomorphic bisectional curvature to a complete simply connected Kähler manifold with a certain assumption on the sectional curvature.

Detalles Bibliográficos
Autor principal: Yu, Chengjie
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3671232/
https://www.ncbi.nlm.nih.gov/pubmed/23766684
http://dx.doi.org/10.1155/2013/265752
Descripción
Sumario:We prove a Liouville property of holomorphic maps from a complete Kähler manifold with nonnegative holomorphic bisectional curvature to a complete simply connected Kähler manifold with a certain assumption on the sectional curvature.