Geometric characterizations of Gromov hyperbolicity

Abstract We prove the equivalence of three different geometric properties of metric-measure spaces with controlled geometry. The first property is the Gromov hyperbolicity of the quasihyperbolic metric. The second is a slice condition and the third is a combination of the Gehring–Hayman property and...
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Gespeichert in:

Autor*in:	Balogh, Zoltán M. [verfasserIn] Buckley, Stephen M.

Format:	Artikel
Sprache:	Englisch

Erschienen:	2003

Schlagwörter:	Geometric Property Separation Condition Geometric Characterization Control Geometry Gromov Hyperbolicity

Systematik:	SA 5940 SA 5940

Anmerkung:	© Springer-Verlag 2003

Übergeordnetes Werk:	Enthalten in: Inventiones mathematicae - Springer-Verlag, 1966, 153(2003), 2 vom: 10. Apr., Seite 261-301
Übergeordnetes Werk:	volume:153 ; year:2003 ; number:2 ; day:10 ; month:04 ; pages:261-301

Links:	Volltext

DOI / URN:	10.1007/s00222-003-0287-6

Katalog-ID:	OLC2050918593

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spelling	10.1007/s00222-003-0287-6 doi (DE-627)OLC2050918593 (DE-He213)s00222-003-0287-6-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn SA 5940 VZ rvk SA 5940 VZ rvk Balogh, Zoltán M. verfasserin aut Geometric characterizations of Gromov hyperbolicity 2003 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2003 Abstract We prove the equivalence of three different geometric properties of metric-measure spaces with controlled geometry. The first property is the Gromov hyperbolicity of the quasihyperbolic metric. The second is a slice condition and the third is a combination of the Gehring–Hayman property and a separation condition. Geometric Property Separation Condition Geometric Characterization Control Geometry Gromov Hyperbolicity Buckley, Stephen M. aut Enthalten in Inventiones mathematicae Springer-Verlag, 1966 153(2003), 2 vom: 10. Apr., Seite 261-301 (DE-627)129077453 (DE-600)2921-X (DE-576)014409992 0020-9910 nnns volume:153 year:2003 number:2 day:10 month:04 pages:261-301 https://doi.org/10.1007/s00222-003-0287-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4126 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 SA 5940 SA 5940 AR 153 2003 2 10 04 261-301
allfields_unstemmed	10.1007/s00222-003-0287-6 doi (DE-627)OLC2050918593 (DE-He213)s00222-003-0287-6-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn SA 5940 VZ rvk SA 5940 VZ rvk Balogh, Zoltán M. verfasserin aut Geometric characterizations of Gromov hyperbolicity 2003 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2003 Abstract We prove the equivalence of three different geometric properties of metric-measure spaces with controlled geometry. The first property is the Gromov hyperbolicity of the quasihyperbolic metric. The second is a slice condition and the third is a combination of the Gehring–Hayman property and a separation condition. Geometric Property Separation Condition Geometric Characterization Control Geometry Gromov Hyperbolicity Buckley, Stephen M. aut Enthalten in Inventiones mathematicae Springer-Verlag, 1966 153(2003), 2 vom: 10. Apr., Seite 261-301 (DE-627)129077453 (DE-600)2921-X (DE-576)014409992 0020-9910 nnns volume:153 year:2003 number:2 day:10 month:04 pages:261-301 https://doi.org/10.1007/s00222-003-0287-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4126 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 SA 5940 SA 5940 AR 153 2003 2 10 04 261-301
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allfieldsSound	10.1007/s00222-003-0287-6 doi (DE-627)OLC2050918593 (DE-He213)s00222-003-0287-6-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn SA 5940 VZ rvk SA 5940 VZ rvk Balogh, Zoltán M. verfasserin aut Geometric characterizations of Gromov hyperbolicity 2003 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2003 Abstract We prove the equivalence of three different geometric properties of metric-measure spaces with controlled geometry. The first property is the Gromov hyperbolicity of the quasihyperbolic metric. The second is a slice condition and the third is a combination of the Gehring–Hayman property and a separation condition. Geometric Property Separation Condition Geometric Characterization Control Geometry Gromov Hyperbolicity Buckley, Stephen M. aut Enthalten in Inventiones mathematicae Springer-Verlag, 1966 153(2003), 2 vom: 10. Apr., Seite 261-301 (DE-627)129077453 (DE-600)2921-X (DE-576)014409992 0020-9910 nnns volume:153 year:2003 number:2 day:10 month:04 pages:261-301 https://doi.org/10.1007/s00222-003-0287-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4126 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 SA 5940 SA 5940 AR 153 2003 2 10 04 261-301
language	English
source	Enthalten in Inventiones mathematicae 153(2003), 2 vom: 10. Apr., Seite 261-301 volume:153 year:2003 number:2 day:10 month:04 pages:261-301
sourceStr	Enthalten in Inventiones mathematicae 153(2003), 2 vom: 10. Apr., Seite 261-301 volume:153 year:2003 number:2 day:10 month:04 pages:261-301
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Geometric Property Separation Condition Geometric Characterization Control Geometry Gromov Hyperbolicity
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authorswithroles_txt_mv	Balogh, Zoltán M. @@aut@@ Buckley, Stephen M. @@aut@@
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author	Balogh, Zoltán M.
spellingShingle	Balogh, Zoltán M. ddc 510 ssgn 17,1 rvk SA 5940 misc Geometric Property misc Separation Condition misc Geometric Characterization misc Control Geometry misc Gromov Hyperbolicity Geometric characterizations of Gromov hyperbolicity
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topic_title	510 VZ 17,1 ssgn SA 5940 VZ rvk Geometric characterizations of Gromov hyperbolicity Geometric Property Separation Condition Geometric Characterization Control Geometry Gromov Hyperbolicity
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topic_unstemmed	ddc 510 ssgn 17,1 rvk SA 5940 misc Geometric Property misc Separation Condition misc Geometric Characterization misc Control Geometry misc Gromov Hyperbolicity
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title	Geometric characterizations of Gromov hyperbolicity
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title_full	Geometric characterizations of Gromov hyperbolicity
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title_sort	geometric characterizations of gromov hyperbolicity
title_auth	Geometric characterizations of Gromov hyperbolicity
abstract	Abstract We prove the equivalence of three different geometric properties of metric-measure spaces with controlled geometry. The first property is the Gromov hyperbolicity of the quasihyperbolic metric. The second is a slice condition and the third is a combination of the Gehring–Hayman property and a separation condition. © Springer-Verlag 2003
abstractGer	Abstract We prove the equivalence of three different geometric properties of metric-measure spaces with controlled geometry. The first property is the Gromov hyperbolicity of the quasihyperbolic metric. The second is a slice condition and the third is a combination of the Gehring–Hayman property and a separation condition. © Springer-Verlag 2003
abstract_unstemmed	Abstract We prove the equivalence of three different geometric properties of metric-measure spaces with controlled geometry. The first property is the Gromov hyperbolicity of the quasihyperbolic metric. The second is a slice condition and the third is a combination of the Gehring–Hayman property and a separation condition. © Springer-Verlag 2003
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title_short	Geometric characterizations of Gromov hyperbolicity
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