Some aspects of the Laplace operator in negative curvature

Ursula Hamenstädt

Séminaire de théorie spectrale et géométrie (1991)

  • Volume: S9, page 95-97
  • ISSN: 1624-5458

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Hamenstädt, Ursula. "Some aspects of the Laplace operator in negative curvature." Séminaire de théorie spectrale et géométrie S9 (1991): 95-97. <http://eudml.org/doc/114351>.

@article{Hamenstädt1991,
author = {Hamenstädt, Ursula},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {unstable foliation; almost everywhere differentiable; Hölder continuous sections; Borel probability measure},
language = {eng},
pages = {95-97},
publisher = {Institut Fourier},
title = {Some aspects of the Laplace operator in negative curvature},
url = {http://eudml.org/doc/114351},
volume = {S9},
year = {1991},
}

TY - JOUR
AU - Hamenstädt, Ursula
TI - Some aspects of the Laplace operator in negative curvature
JO - Séminaire de théorie spectrale et géométrie
PY - 1991
PB - Institut Fourier
VL - S9
SP - 95
EP - 97
LA - eng
KW - unstable foliation; almost everywhere differentiable; Hölder continuous sections; Borel probability measure
UR - http://eudml.org/doc/114351
ER -

References

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  10. [Kn] KNIEPER G. - Horospherical measure and rigidity of manifolds of negative curvature, Preprint, 1991. 
  11. [L1] LEDRAPPIER F. - Ergodic properties of Brownian motion on covers of compact negatively curved manifolds, Bol. Soc.Bras. Mat., 19 ( 1988), 115-140. Zbl0685.58036MR1018929
  12. [L2] LEDRAPPIER F. - Harmonic measures and Bowen-Margulis measures, Israel Journal of Math., 71 ( 1990), 275-287. Zbl0728.53029MR1088820
  13. [L3] LEDRAPPIER F. - Ergodic properties of the stable foliation, Preprint. Zbl0768.58028MR1179178
  14. [M1] MARGULIS G.A. - Applications of ergodic theory to the investigation of manifolds of negative curvature, Funct. Anal. Appl., 3 ( 1969), 335-336. Zbl0207.20305MR257933
  15. [M2] MARGULIS G.A. - Certain measures associated with U-flows on compact manifolds, Funct. Anal. Appl., 4 ( 1970), 55-67. Zbl0245.58003MR272984
  16. [P] PRAT J.J. - Etude asymptotique et convergence angulaire du mouvement brownien sur une variété à courbure négative, CRAS Paris, 280 ( 1985). A1539-A1542. Zbl0309.60052MR388557
  17. [S] SULLIVAN D. - Related aspects of positivity in Riemannian geometry, J. Differential Geom., 25 ( 1987),327-51. Zbl0615.53029MR882827
  18. [Y] YUE C.B. - Brownian motion on Anosov foliations, integral formula and rigidity, Preprint. 

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