RT Journal Article
T1 Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics
A1 Hästö, Peter
A1 Lindén, Henri
A1 Portilla, Ana
A1 Rodríguez, José M.
A1 Tourís, Eva
AB We derive explicit and simple conditions which in many cases allow one decide, whether or not a Denjoy domain endowed with the Poincare or quasihyperbolic metric is Gromov hyperbolic. The criteria are based on the Euclidean size of the complement. As a corollary, the main theorem allows to deduce the non-hyperbolicity of any periodic Denjoy domain.
YR 2008
FD 2008-05
LK https://hdl.handle.net/10016/6472
UL https://hdl.handle.net/10016/6472
LA eng
NO 15 pages, 2 figures.-- MSC2000 codes: 30F45, 53C23, 30C99.-- ArXiv pre-print available at: http://arxiv.org/abs/0806.0097
NO Submitted
NO First author (P.H.) was supported in part by the Academy of Finland. Third (A.P.), fourth (J.M.R.) and fifth (E.T.) authors were supported in part by three grants from M.E.C. (MTM 2006-13000-C03-02, MTM 2006-11976 and MTM 2007-30904-E), Spain. Fourth and fifth authors were also supported in part by a grant from U.C.IIIM./C.A.M. (CCG07-UC3M/ESP-3339), Spain.
DS e-Archivo
RD 28 may. 2024