Journal of Differential Geometry

Asymptotic behavior of convex sets in the hyperbolic plane

E. Gallego and A. Reventós

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Article information

Source
J. Differential Geom., Volume 21, Number 1 (1985), 63-72.

Dates
First available in Project Euclid: 26 June 2008

Permanent link to this document
https://projecteuclid.org/euclid.jdg/1214439464

Digital Object Identifier
doi:10.4310/jdg/1214439464

Mathematical Reviews number (MathSciNet)
MR806702

Zentralblatt MATH identifier
0592.53051

Subjects
Primary: 52A55: Spherical and hyperbolic convexity
Secondary: 52A10: Convex sets in 2 dimensions (including convex curves) [See also 53A04]

Citation

Gallego, E.; Reventós, A. Asymptotic behavior of convex sets in the hyperbolic plane. J. Differential Geom. 21 (1985), no. 1, 63--72. doi:10.4310/jdg/1214439464. https://projecteuclid.org/euclid.jdg/1214439464


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References

  • [1] T. Bonnesen and W. Fenchel, Theorie der Konvexenkorper, Springer, Berlin, 1934.
    Zentralblatt MATH: 0277.52001
  • [2] R. Bonola, Non-Euclidean geometry, Dover, New York.
  • [3] E. Gallego and A. Revents, A note on the Santalb conjecture about convex sets in the hyperbolic plane, (to appear).
  • [4] S. Lay, Convex sets and their applications, Wiley-Interscience, New York, 1982.
    Zentralblatt MATH: 0492.52001
    Mathematical Reviews (MathSciNet): MR655598
  • [5] L. A. Santal and I. Yanez, Averages for polygons by random lines in Euclidean and Hyperbolic planes, J. Appl. Probability 9 (1972) 140-157.
    Zentralblatt MATH: 0231.60010
    Mathematical Reviews (MathSciNet): MR296991
    Digital Object Identifier: doi:10.2307/3212643
    JSTOR: links.jstor.org
  • [6] L. A. Santal, integral geometry and geometric probability, Addison-Wesley, Reading, MA, 1976.
    Zentralblatt MATH: 0342.53049
    Mathematical Reviews (MathSciNet): MR433364

Lehigh University

International Press

Journal of Differential Geometry

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