Invariant measures for the stable foliation on negatively curved periodic manifolds

François Ledrappier[1]

  • [1] University of Notre Dame Department of Mathematics Notre Dame, IN 46556-4618 (USA)

Annales de l’institut Fourier (2008)

  • Volume: 58, Issue: 1, page 85-105
  • ISSN: 0373-0956

Abstract

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We classify reversible measures for the stable foliation on manifolds which are infinite covers of compact negatively curved manifolds. We extend the known results from hyperbolic surfaces to varying curvature and to all dimensions.

How to cite

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Ledrappier, François. "Invariant measures for the stable foliation on negatively curved periodic manifolds." Annales de l’institut Fourier 58.1 (2008): 85-105. <http://eudml.org/doc/10318>.

@article{Ledrappier2008,
abstract = {We classify reversible measures for the stable foliation on manifolds which are infinite covers of compact negatively curved manifolds. We extend the known results from hyperbolic surfaces to varying curvature and to all dimensions.},
affiliation = {University of Notre Dame Department of Mathematics Notre Dame, IN 46556-4618 (USA)},
author = {Ledrappier, François},
journal = {Annales de l’institut Fourier},
keywords = {Invariant measure; stable foliation; negative curvature; stable and strong stable Anosov foliations; Busemann functions; horospheres; reversible and harmonic measures; alpha-conformal measure; leaf Laplacian; ergodicity},
language = {eng},
number = {1},
pages = {85-105},
publisher = {Association des Annales de l’institut Fourier},
title = {Invariant measures for the stable foliation on negatively curved periodic manifolds},
url = {http://eudml.org/doc/10318},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Ledrappier, François
TI - Invariant measures for the stable foliation on negatively curved periodic manifolds
JO - Annales de l’institut Fourier
PY - 2008
PB - Association des Annales de l’institut Fourier
VL - 58
IS - 1
SP - 85
EP - 105
AB - We classify reversible measures for the stable foliation on manifolds which are infinite covers of compact negatively curved manifolds. We extend the known results from hyperbolic surfaces to varying curvature and to all dimensions.
LA - eng
KW - Invariant measure; stable foliation; negative curvature; stable and strong stable Anosov foliations; Busemann functions; horospheres; reversible and harmonic measures; alpha-conformal measure; leaf Laplacian; ergodicity
UR - http://eudml.org/doc/10318
ER -

References

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