On the Dirichlet problem at infinity for manifolds of non-positive curvature (résumé)

Werner Ballmann

Séminaire de théorie spectrale et géométrie (1988-1989)

  • Volume: 7, page 33-34
  • ISSN: 1624-5458

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Ballmann, Werner. "On the Dirichlet problem at infinity for manifolds of non-positive curvature (résumé)." Séminaire de théorie spectrale et géométrie 7 (1988-1989): 33-34. <http://eudml.org/doc/114292>.

@article{Ballmann1988-1989,
author = {Ballmann, Werner},
journal = {Séminaire de théorie spectrale et géométrie},
language = {eng},
pages = {33-34},
publisher = {Institut Fourier},
title = {On the Dirichlet problem at infinity for manifolds of non-positive curvature (résumé)},
url = {http://eudml.org/doc/114292},
volume = {7},
year = {1988-1989},
}

TY - JOUR
AU - Ballmann, Werner
TI - On the Dirichlet problem at infinity for manifolds of non-positive curvature (résumé)
JO - Séminaire de théorie spectrale et géométrie
PY - 1988-1989
PB - Institut Fourier
VL - 7
SP - 33
EP - 34
LA - eng
UR - http://eudml.org/doc/114292
ER -

References

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  1. [Ac] ANCONA A. - Negatively curved manifolds, elliptic operators, and the Martin boundary, Ann. of Math., 125 ( 1987), 495-536. Zbl0652.31008MR890161
  2. [Ad] ANDERSON M.. - The Dirichlet problem at infinity for manifolds of negative curvature, J. Differential Geom., 18 ( 1983), 701-721. Zbl0541.53036MR730923
  3. [AS] ANDERSON M., SCHOEN R. - Positive harmonic functions on complete manifolds of negative curvature, Ann. of Math., 121 ( 1985), 429-461. Zbl0587.53045MR794369
  4. [B 1] BALLMANN W. - Axial isometries of manifolds of non-positive curvature, Math. Ann., 259 ( 1982), 131-144. Zbl0487.53039MR656659
  5. [B 2] BALLMANN W. - Nonpositively curved manifolds of higher rank, Ann. of Math., 122 ( 1985), 597-609. Zbl0585.53031MR819559
  6. [B 3] BALLMANN W. - On the Dirichlet problem at infirüty for manifolds of nonpositive curvature, Forum Math., 1 ( 1989), 201-213. Zbl0661.53026MR990144
  7. [BS] BURNS K., SPATZIER R. - Manifolds of nonpositive curvature and their buildings, Publications Math. MES, 65 ( 1987), 35-59. Zbl0643.53037MR908215
  8. [F] FÜRSTENBERG II. - A Poisson for semi-simple Lie groups, Ann. of Math., 77 ( 1963), 335-386. Zbl0192.12704MR146298
  9. [K 1] KIFER Y. - Brownian motion and harmonic functions on manifoldsof negative curvature, Theory Probab. Appl., 21 ( 1976), 81-95. Zbl0361.60050MR420887
  10. [K 2] KIFER Y. - Brownian motion and positive harmonic functions on complete manifolds of non- positive curvature, Pitman Research Notes in Mathematics, 150 ( 1986), 132-178. Zbl0611.31002
  11. [S] SULLIVAN D. - The Dirichlet problem at infinity for a negatively curved manifold, J. Differential Geom., 18 ( 1983), 723-732. Zbl0541.53037MR730924
  12. [Y 1] YAU S.T. - Harmonic functions on complete Riemannian manifolds, Comm. Pure Appl. Math., 28 ( 1975). 201-228. Zbl0291.31002MR431040
  13. [Y 2] YAU S.T. - Some function-theoretic properties of complete Riemannian manifolds and their applications to geometry, Ind. Univ. Math. J., 25 ( 1976), 659-670. Zbl0335.53041MR417452

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