Frame flows on manifolds with pinched negative curvature

M. Brin; H. Karcher

Compositio Mathematica (1984)

  • Volume: 52, Issue: 3, page 275-297
  • ISSN: 0010-437X

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Brin, M., and Karcher, H.. "Frame flows on manifolds with pinched negative curvature." Compositio Mathematica 52.3 (1984): 275-297. <http://eudml.org/doc/89665>.

@article{Brin1984,
author = {Brin, M., Karcher, H.},
journal = {Compositio Mathematica},
keywords = {Anosov flow; frame flow; geodesic flow; ergodic},
language = {eng},
number = {3},
pages = {275-297},
publisher = {Martinus Nijhoff Publishers},
title = {Frame flows on manifolds with pinched negative curvature},
url = {http://eudml.org/doc/89665},
volume = {52},
year = {1984},
}

TY - JOUR
AU - Brin, M.
AU - Karcher, H.
TI - Frame flows on manifolds with pinched negative curvature
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 52
IS - 3
SP - 275
EP - 297
LA - eng
KW - Anosov flow; frame flow; geodesic flow; ergodic
UR - http://eudml.org/doc/89665
ER -

References

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  1. [1] D.V. Anosov: Geodesic flows on closed Riemannian manifolds of negative curvature. Proc. Steklov Inst. Math.90 (1967). Zbl0176.19101MR224110
  2. [2] A.D. Aleksandrov: Metrische Räume mit einer Krümmung nicht grösser als K, in: Begriff des Räumes in der Geometrie, Bericht von der Riemann Tagung, Berlin, 1957. 
  3. [3] M. Brin: Topological transitivity of one class of dynamical systems and frame flows on manifolds of negative curvature. Funct. Analysis and Its Applic. 9 (1975) 8-16. Zbl0357.58011MR370660
  4. [4] M. Brin: Topology of group extensions of Anosov systems. Math. Notes of the A cad. of Sci. of the USSR18 (1975) 858-864. Zbl0332.58010MR394764
  5. [5] M. Brin and M. Gromov: On the ergodicity of frame flows. Invent. Math.60 (1980) 1-7. Zbl0445.58023MR582702
  6. [6] M. Brin and YA. Pesin: Partially hyperbolic dynamical systems. Mathematics of the USSR-Izvestija8 (1974) 177-218. Zbl0309.58017
  7. [7] P. Buser and H. Karcher: Gromov's Almost Flat Manifolds. Asterisque81 (1981). Zbl0459.53031MR619537
  8. [8] P. Eberlein: Equidistant points at infinity on manifolds of negative curvature. Preprint Univ. of North Carolina atChapel Hill, 1981. 
  9. [9] E. Heitze and H.C. Im Hof: Geometry of Horospheres. Journal of Differential Geometry12 (1977) 481-491. Zbl0434.53038MR512919
  10. [10] H.C. Im Hof: Ellipsoids and hyperboloids with infinite foci. Preprint IHES, 1981. 
  11. [11] A.L. Onisçik: On Lie groups transitive on compact manifolds III. Mathematics of the USSR-Sbornik4 (1968) 223-240. Zbl0198.29001
  12. [12] M. Ratner: Anosov flows with Gibbs measures are also Bernoullian. Israel J. Math.17 (1974) 380-391. Zbl0304.28011MR374387
  13. [13] D.J. Rudolph: Classifying the isometric extensions of a Bernoulli shift. J. d'Analyse Mathematique34 (1978) 36-60. Zbl0415.28012MR531270

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