CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  Publicationsjournals
Publications        
Search results

Search: All articles in the CJM digital archive with keyword Kähler metric

  Expand all        Collapse all Results 1 - 1 of 1

1. CJM 2012 (vol 66 pp. 197)

Harris, Adam; Kolář, Martin
On Hyperbolicity of Domains with Strictly Pseudoconvex Ends
This article establishes a sufficient condition for Kobayashi hyperbolicity of unbounded domains in terms of curvature. Specifically, when $\Omega\subset{\mathbb C}^{n}$ corresponds to a sub-level set of a smooth, real-valued function $\Psi$, such that the form $\omega = {\bf i}\partial\bar{\partial}\Psi$ is Kähler and has bounded curvature outside a bounded subset, then this domain admits a hermitian metric of strictly negative holomorphic sectional curvature.

Keywords:Kobayashi-hyperbolicity, Kähler metric, plurisubharmonic function
Categories:32Q45, 32Q35

© Canadian Mathematical Society, 2014 : https://cms.math.ca/