Invariant currents on limit sets

Commentarii Mathematici Helvetici

Volumn 75, Issue 2, 2000, Pages 319-350

  Lott, John ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Harmonic form; Hyperbolic; L2 cohomology; Limit set

Indexed keywords

EID: 0034360769     PISSN: 00102571     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00000376     Document Type: Article

References (17)

1. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions, National Bureau of Standards, Washington 1964.
2. R. Benedetti and C. Petronio, Lectures on Hyperbolic Geometry, Springer-Verlag, New York 1992.
3. F. Bonahon, Bouts des Variétés Hyperboliques de Dimension 3, Ann. of Math. 124 (1986) 71-158.
4. J. Cheeger, M. Gromov and M. Taylor, Finite Propagation Speed, Kernel Estimates for Functions of the Laplace Operator and the Geometry of Complete Riemannian Manifolds, J. Diff. Geom. 17 (1982), 15-53.
5. A. Connes, Noncommutative Differential Geometry, Academic Press, San Diego 1994.
6. P.-Y. Gaillard, Transformation de Poisson de Formes Differentielles. Le Cas de l'Espace Hyperbolique, Comm. Math. Helv. 61 (1986), 581-616.
7. J. Garnett, Bounded Analytic Functions, Academic Press, New York 1981.
8. A. Haefliger and L. Banghe, Currents on a Circle Invariant by a Fuchsian Group. In: Geometric Dynamics, Springer LNM 1007, ed. J. Palis, pp. 369-378. Springer-Verlag, New York 1983.
9. J. Lott, The Zero-in-the-Spectrum Problem, L'Enseignement Math. 42 (1996), 341-376.
10. 2-Cohomology of Geometrically Infinite Hyperbolic 3-Manifolds, Geom. and Funct. Anal. 7 (1997), 81-119.
11. Y. Luke, Integrals of Bessel Functions, McGraw-Hill, New York 1962.
12. R. Mazzeo and R. Phillips, Hodge Theory on Hyperbolic Manifolds, Duke Math. J. 60 (1990), 509-559.
13. J.-P. Otal, Le Théorème d'Hyperbolisation pour les Variétés Fibrées de Dimension 3, Astèrisque 235 (1996).
14. D. Sullivan, The Density at Infinity of a Discrete Group of Hyperbolic Motions, Publ. IHES 50 (1979), 171-202.
15. D. Sullivan, Related Aspects of Positivity in Riemannian Geometry, J. of Diff. Geom. 25 (1987), 327-351.
16. W. Thurston, Hyperbolic Structures on 3-Manifolds II: Surface Groups and Manifolds which Fiber over the Circle, Version 2.0, preprint (1986).
17. W. Thurston, On the Geometry and Dynamics of Diffeomorphisms of Surfaces, Bull. AMS 19 (1988), 417-431.