On the geometry at infinity of the universal covering of S l ( 2 , ℝ )

Marcos Salvai

Rendiconti del Seminario Matematico della Università di Padova (2000)

  • Volume: 104, page 91-108
  • ISSN: 0041-8994

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Salvai, Marcos. "On the geometry at infinity of the universal covering of $Sl(2, \mathbb {R})$." Rendiconti del Seminario Matematico della Università di Padova 104 (2000): 91-108. <http://eudml.org/doc/108541>.

@article{Salvai2000,
author = {Salvai, Marcos},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {asymptotic geodesics; hyperbolic plane},
language = {eng},
pages = {91-108},
publisher = {Seminario Matematico of the University of Padua},
title = {On the geometry at infinity of the universal covering of $Sl(2, \mathbb \{R\})$},
url = {http://eudml.org/doc/108541},
volume = {104},
year = {2000},
}

TY - JOUR
AU - Salvai, Marcos
TI - On the geometry at infinity of the universal covering of $Sl(2, \mathbb {R})$
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2000
PB - Seminario Matematico of the University of Padua
VL - 104
SP - 91
EP - 108
LA - eng
KW - asymptotic geodesics; hyperbolic plane
UR - http://eudml.org/doc/108541
ER -

References

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  1. [1] W. Ballmann - M. BRIN - K. BURNS, On surfaces with no conjugate points, J. Diff. Geometry, 25 (1987), pp. 249-273. Zbl0592.53041MR880185
  2. [2] A. Beardon, TheGeometry of Discrete Groups, Springer-Verlag (1983). Zbl0528.30001MR698777
  3. [3] A. Besse, Einstein manifolds, Springer-Verlag (1987). Zbl0613.53001MR867684
  4. [4] J.E. D'Atri, The long-time behavior of geodesics in certain left invariant metrics, Proc. Amer. Math. Soc., 116 (1992), pp. 813-817. Zbl0792.53045MR1145417
  5. [5] P. Eberlein - B. O'NEILL, Visibility Manifolds, Pacific J. of Math., 46 (1973), pp. 45-109. Zbl0264.53026MR336648
  6. [6] J. Milnor, Curvatures of left invariants metrics on Lie groups, Adv. in Math., 21 (1976), pp. 293-329. Zbl0341.53030MR425012
  7. [7] M. Salvai, Spectra of unit tangent bundles of hyperbolic Riemann surfaces, Ann. Global Anal. Geom., 16 (1988), pp. 357-370. Zbl0912.30026MR1635542
  8. [8] P. Scott, The geometries of 3-manifolds, Bull. London Math. Soc., 15 (1983), pp. 401-487. Zbl0561.57001MR705527

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