| HARRIS, Adam Gregory a Martin KOLÁŘ. On Hyperbolicity of Domains with Strictly Pseudoconvex Ends. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. OTTAWA: CANADIAN MATHEMATICAL SOCIETY, 2014, roč. 66, č. 1, s. 197-204. ISSN 0008-414X. Dostupné z: https://dx.doi.org/10.4153/CJM-2012-036-4. |
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@article{1232105,
author = {Harris, Adam Gregory and Kolář, Martin},
article_location = {OTTAWA},
article_number = {1},
doi = {http://dx.doi.org/10.4153/CJM-2012-036-4},
keywords = {Kobayashi hyperbolicity; Kahler metric; plurisubharmonic function},
language = {eng},
issn = {0008-414X},
journal = {CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES},
title = {On Hyperbolicity of Domains with Strictly Pseudoconvex Ends},
volume = {66},
year = {2014}
}
TY - JOUR
ID - 1232105
AU - Harris, Adam Gregory - Kolář, Martin
PY - 2014
TI - On Hyperbolicity of Domains with Strictly Pseudoconvex Ends
JF - CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
VL - 66
IS - 1
SP - 197-204
EP - 197-204
PB - CANADIAN MATHEMATICAL SOCIETY
SN - 0008414X
KW - Kobayashi hyperbolicity
KW - Kahler metric
KW - plurisubharmonic function
N2 - This article establishes a sufficient condition for Kobayashi hyperbolicity of unbounded domains in terms of curvature. Specifically, when Omega subset of C-n corresponds to a sub-level set of a smooth, real-valued function Psi such that the form omega = i partial derivative partial derivative Psi, is Kahler and has bounded curvature outside a bounded subset, then this domain admits a hermitian metric of strictly negative holomorphic sectional curvature.
ER -
HARRIS, Adam Gregory a Martin KOLÁŘ. On Hyperbolicity of Domains with Strictly Pseudoconvex Ends. \textit{CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES}. OTTAWA: CANADIAN MATHEMATICAL SOCIETY, 2014, roč.~66, č.~1, s.~197-204. ISSN~0008-414X. Dostupné z: https://dx.doi.org/10.4153/CJM-2012-036-4.
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