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Year 2008, Volume: 1 Issue: 2, 33 - 39, 30.11.2008

Richard L. Bishop

Abstract

References

  • [1] S. B. Alexander, R. L. Bishop, The Hadamard-Cartan theorem in locally convex metric spaces, Enseign. Math., 36 (1990), 309-320.
  • [2] D. Burago, Yu. Burago, S. Ivanov, A Course in Metric Geometry, Graduate Studies in Mathematics, Vol. 33, Amer. Math. Soc., Providence, RI, 2001.
  • [3] R. D. Bourgin, P. L. Renz, Shortest paths in simply connected regions in E2, Adv. Math. 76 (1989), 260-295.
  • [4] M. Bridson, A. Haefliger, Metric Spaces of Non-positive Curvature, Springer-Verlag, 1999.
  • [5] P. Eberlein, B. O'Neill, Visibility manifolds, Pacific J. Math. 46 (1973), 45-109.
  • [6] P. Fabel, "Shortest" arcs in closed planar disks vary continuously with the boundary, Topology Appl. 95 (1999), 75-83.
  • [7] F. E. Wolter, Cut Loci in Bordered and Unbordered Riemannian Manifolds, http://www.gdv.uni-hannover.de/research/publications.php# cch1 1021485498

On the Intrinsic geometry of a Jordan domain

Year 2008, Volume: 1 Issue: 2, 33 - 39, 30.11.2008

Richard L. Bishop

Abstract


Keywords

Jordan curve cat(0) space cone topology Gromov hyperbolic

References

  • [1] S. B. Alexander, R. L. Bishop, The Hadamard-Cartan theorem in locally convex metric spaces, Enseign. Math., 36 (1990), 309-320.
  • [2] D. Burago, Yu. Burago, S. Ivanov, A Course in Metric Geometry, Graduate Studies in Mathematics, Vol. 33, Amer. Math. Soc., Providence, RI, 2001.
  • [3] R. D. Bourgin, P. L. Renz, Shortest paths in simply connected regions in E2, Adv. Math. 76 (1989), 260-295.
  • [4] M. Bridson, A. Haefliger, Metric Spaces of Non-positive Curvature, Springer-Verlag, 1999.
  • [5] P. Eberlein, B. O'Neill, Visibility manifolds, Pacific J. Math. 46 (1973), 45-109.
  • [6] P. Fabel, "Shortest" arcs in closed planar disks vary continuously with the boundary, Topology Appl. 95 (1999), 75-83.
  • [7] F. E. Wolter, Cut Loci in Bordered and Unbordered Riemannian Manifolds, http://www.gdv.uni-hannover.de/research/publications.php# cch1 1021485498
There are 7 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Richard L. Bishop This is me

Publication Date November 30, 2008
Published in Issue Year 2008 Volume: 1 Issue: 2

Cite

APA Bishop, R. L. (2008). On the Intrinsic geometry of a Jordan domain. International Electronic Journal of Geometry, 1(2), 33-39.
AMA Bishop RL. On the Intrinsic geometry of a Jordan domain. Int. Electron. J. Geom. November 2008;1(2):33-39.
Chicago Bishop, Richard L. “On the Intrinsic Geometry of a Jordan Domain”. International Electronic Journal of Geometry 1, no. 2 (November 2008): 33-39.
EndNote Bishop RL (November 1, 2008) On the Intrinsic geometry of a Jordan domain. International Electronic Journal of Geometry 1 2 33–39.
IEEE R. L. Bishop, “On the Intrinsic geometry of a Jordan domain”, Int. Electron. J. Geom., vol. 1, no. 2, pp. 33–39, 2008.
ISNAD Bishop, Richard L. “On the Intrinsic Geometry of a Jordan Domain”. International Electronic Journal of Geometry 1/2 (November 2008), 33-39.
JAMA Bishop RL. On the Intrinsic geometry of a Jordan domain. Int. Electron. J. Geom. 2008;1:33–39.
MLA Bishop, Richard L. “On the Intrinsic Geometry of a Jordan Domain”. International Electronic Journal of Geometry, vol. 1, no. 2, 2008, pp. 33-39.
Vancouver Bishop RL. On the Intrinsic geometry of a Jordan domain. Int. Electron. J. Geom. 2008;1(2):33-9.