메뉴 건너뛰기




Volumn 380, Issue 2, 2011, Pages 865-881

Graphs and Gromov hyperbolicity of non-constant negatively curved surfaces

Author keywords

Gromov hyperbolic graph; Gromov hyperbolicity; Hyperbolic geometry; Pinched negative curvature; Riemannian surface

Indexed keywords


EID: 79954994403     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2011.02.067     Document Type: Article
Times cited : (55)

References (36)
  • 1
    • 0035360939 scopus 로고    scopus 로고
    • Adaptive implicit surface polygonization using marching triangles
    • Akkouche S., Galin E. Adaptive implicit surface polygonization using marching triangles. Comput. Graph. Forum 2001, 20:67-80.
    • (2001) Comput. Graph. Forum , vol.20 , pp. 67-80
    • Akkouche, S.1    Galin, E.2
  • 2
    • 1642374080 scopus 로고    scopus 로고
    • Structure theorems for Riemann and topological surfaces
    • Alvarez V., Rodríguez J.M. Structure theorems for Riemann and topological surfaces. J. Lond. Math. Soc. 2004, 69:153-168.
    • (2004) J. Lond. Math. Soc. , vol.69 , pp. 153-168
    • Alvarez, V.1    Rodríguez, J.M.2
  • 4
    • 74849087450 scopus 로고    scopus 로고
    • Simplicial embeddings between pants graphs
    • Aramayona J. Simplicial embeddings between pants graphs. Geom. Dedicata 2010, 144:115-128.
    • (2010) Geom. Dedicata , vol.144 , pp. 115-128
    • Aramayona, J.1
  • 5
    • 79954995927 scopus 로고    scopus 로고
    • On the curvature of the internet, in: Workshop on Stochastic Geometry and Teletraffic
    • Eindhoven, The Netherlands, April
    • Y. Baryshnikov, On the curvature of the internet, in: Workshop on Stochastic Geometry and Teletraffic, Eindhoven, The Netherlands, April 2002.
    • (2002)
    • Baryshnikov, Y.1
  • 6
    • 10644240158 scopus 로고    scopus 로고
    • On the hyperbolicity of Chodal graphs
    • Brinkmann G., Koolen J., Moulton V. On the hyperbolicity of Chodal graphs. Ann. Comb. 2001, 5:61-69.
    • (2001) Ann. Comb. , vol.5 , pp. 61-69
    • Brinkmann, G.1    Koolen, J.2    Moulton, V.3
  • 7
    • 0034417211 scopus 로고    scopus 로고
    • Embeddings of Gromov hyperbolic spaces
    • Bonk M., Schramm O. Embeddings of Gromov hyperbolic spaces. Geom. Funct. Anal. 2000, 10(2):266-306.
    • (2000) Geom. Funct. Anal. , vol.10 , Issue.2 , pp. 266-306
    • Bonk, M.1    Schramm, O.2
  • 12
    • 0037594737 scopus 로고    scopus 로고
    • Escaping geodesics of Riemannian surfaces
    • Fernández J.L., Melián M.V. Escaping geodesics of Riemannian surfaces. Acta Math. 2001, 187:213-236.
    • (2001) Acta Math. , vol.187 , pp. 213-236
    • Fernández, J.L.1    Melián, M.V.2
  • 13
    • 33745676988 scopus 로고    scopus 로고
    • A product construction for hyperbolic metric spaces
    • Foertsch T., Schroeder V. A product construction for hyperbolic metric spaces. Illinois J. Math. 2005, 49(3):793-810.
    • (2005) Illinois J. Math. , vol.49 , Issue.3 , pp. 793-810
    • Foertsch, T.1    Schroeder, V.2
  • 14
    • 0003195390 scopus 로고
    • Hyperbolic groups
    • Springer, S.M. Gersten (Ed.) Essays in Group Theory
    • Gromov M. Hyperbolic groups. Math. Sci. Res. Inst. Publ. 1987, vol. 8:75-263. Springer. S.M. Gersten (Ed.).
    • (1987) Math. Sci. Res. Inst. Publ. , vol.8 , pp. 75-263
    • Gromov, M.1
  • 15
    • 0003352567 scopus 로고
    • Sur les Groupes Hyperboliques d'après Mikhael Gromov
    • Birkhäuser
    • Ghys E., de la Harpe P. Sur les Groupes Hyperboliques d'après Mikhael Gromov. Progr. Math. 1990, vol. 83. Birkhäuser.
    • (1990) Progr. Math. , vol.83
    • Ghys, E.1    de la Harpe, P.2
  • 16
    • 0031645916 scopus 로고    scopus 로고
    • A marching method for the triangulation of surfaces
    • Hartmann E. A marching method for the triangulation of surfaces. Visual Comput. 1998, 14:95-108.
    • (1998) Visual Comput. , vol.14 , pp. 95-108
    • Hartmann, E.1
  • 17
    • 77952793394 scopus 로고    scopus 로고
    • Gromov hyperbolic equivalence of the hyperbolic and quasihyperbolic metrics in Denjoy domains
    • Hästö P.A., Portilla A., Rodríguez J.M., Tourís E. Gromov hyperbolic equivalence of the hyperbolic and quasihyperbolic metrics in Denjoy domains. Bull. Lond. Math. Soc. 2010, 42:282-294. 10.1112/blms/bdp125.
    • (2010) Bull. Lond. Math. Soc. , vol.42 , pp. 282-294
    • Hästö, P.A.1    Portilla, A.2    Rodríguez, J.M.3    Tourís, E.4
  • 18
    • 0031227441 scopus 로고    scopus 로고
    • P-harmonic functions on graphs and manifolds
    • Holopainen I., Soardi P.M. p-harmonic functions on graphs and manifolds. Manuscripta Math. 1997, 94:95-110.
    • (1997) Manuscripta Math. , vol.94 , pp. 95-110
    • Holopainen, I.1    Soardi, P.M.2
  • 21
    • 84972557750 scopus 로고
    • Rough isometries and combinatorial approximations of geometries of non-compact Riemannian manifolds
    • Kanai M. Rough isometries and combinatorial approximations of geometries of non-compact Riemannian manifolds. J. Math. Soc. Japan 1985, 37:391-413.
    • (1985) J. Math. Soc. Japan , vol.37 , pp. 391-413
    • Kanai, M.1
  • 22
    • 34548295775 scopus 로고    scopus 로고
    • Geographic routing using hyperbolic space, in: INFOCOM 2007, 26th IEEE International Conference on Computer Communications
    • Anchorage, AK, May
    • R. Kleinberg, Geographic routing using hyperbolic space, in: INFOCOM 2007, 26th IEEE International Conference on Computer Communications, Anchorage, AK, May 2007, pp. 1902-1909.
    • (2007) , pp. 1902-1909
    • Kleinberg, R.1
  • 27
    • 33746865347 scopus 로고    scopus 로고
    • Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces
    • Naor A., Peres Y., Schramm O., Sheffield S. Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces. Duke Math. J. 2006, 134(1):165-197.
    • (2006) Duke Math. J. , vol.134 , Issue.1 , pp. 165-197
    • Naor, A.1    Peres, Y.2    Schramm, O.3    Sheffield, S.4
  • 28
    • 4644337720 scopus 로고    scopus 로고
    • The topology of balls and Gromov hyperbolicity of Riemann surfaces
    • Portilla A., Rodríguez J.M., Tourís E. The topology of balls and Gromov hyperbolicity of Riemann surfaces. Differential Geom. Appl. 2004, 21:317-335.
    • (2004) Differential Geom. Appl. , vol.21 , pp. 317-335
    • Portilla, A.1    Rodríguez, J.M.2    Tourís, E.3
  • 29
    • 79953133105 scopus 로고    scopus 로고
    • A real variable characterization of Gromov hyperbolicity of flute surfaces
    • Portilla A., Rodríguez J.M., Tourís E. A real variable characterization of Gromov hyperbolicity of flute surfaces. Osaka J. Math. 2011, 48:179-207.
    • (2011) Osaka J. Math. , vol.48 , pp. 179-207
    • Portilla, A.1    Rodríguez, J.M.2    Tourís, E.3
  • 30
    • 84861001922 scopus 로고    scopus 로고
    • Structure theorem for Riemannian surfaces with arbitrary curvature
    • in press. doi:10.1007/s00209-011-0851-5
    • A. Portilla, J.M. Rodríguez, E. Tourís, Structure theorem for Riemannian surfaces with arbitrary curvature, Math. Z., in press. doi:10.1007/s00209-011-0851-5.
    • Math. Z.
    • Portilla, A.1    Rodríguez, J.M.2    Tourís, E.3
  • 32
    • 60149097856 scopus 로고    scopus 로고
    • A characterization of Gromov hyperbolicity of surfaces with variable negative curvature
    • Portilla A., Tourís E. A characterization of Gromov hyperbolicity of surfaces with variable negative curvature. Publ. Mat. 2009, 53:83-110.
    • (2009) Publ. Mat. , vol.53 , pp. 83-110
    • Portilla, A.1    Tourís, E.2
  • 33
    • 51249181564 scopus 로고
    • Cylinders in Riemann surfaces
    • Randol B. Cylinders in Riemann surfaces. Comment. Math. Helv. 1979, 54:1-5.
    • (1979) Comment. Math. Helv. , vol.54 , pp. 1-5
    • Randol, B.1
  • 35
    • 33947635076 scopus 로고    scopus 로고
    • Gromov hyperbolicity of Riemann surfaces
    • Rodríguez J.M., Tourís E. Gromov hyperbolicity of Riemann surfaces. Acta Math. Sinica 2007, 23:209-228.
    • (2007) Acta Math. Sinica , vol.23 , pp. 209-228
    • Rodríguez, J.M.1    Tourís, E.2
  • 36
    • 36849037449 scopus 로고    scopus 로고
    • Gromov hyperbolic spaces and the sharp isoperimetric constant
    • Wenger S. Gromov hyperbolic spaces and the sharp isoperimetric constant. Invent. Math. 2008, 171(1):227-255.
    • (2008) Invent. Math. , vol.171 , Issue.1 , pp. 227-255
    • Wenger, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.