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Amenability and the spectrum of the Laplacian
Author:
Robert Brooks
Journal:
Bull. Amer. Math. Soc. 6 (1982), 87-89
MSC (1980):
Primary 58G25
MathSciNet review:
634438
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References |
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Additional Information
- 1.
Robert
Brooks, The fundamental group and the spectrum of the
Laplacian, Comment. Math. Helv. 56 (1981),
no. 4, 581–598. MR 656213
(84j:58131), http://dx.doi.org/10.1007/BF02566228
- 2.
Robert
Brooks, The spectral geometry of foliations, Amer. J. Math.
106 (1984), no. 4, 1001–1012. MR 749263
(86b:58123), http://dx.doi.org/10.2307/2374330
- 3.
Jeff
Cheeger, A lower bound for the smallest eigenvalue of the
Laplacian, Problems in analysis (Papers dedicated to Salomon Bochner,
1969) Princeton Univ. Press, Princeton, N. J., 1970,
pp. 195–199. MR 0402831
(53 #6645)
- 4.
Erling
Følner, On groups with full Banach mean value, Math.
Scand. 3 (1955), 243–254. MR 0079220
(18,51f)
- 5.
J.
Milnor, A note on curvature and fundamental group, J.
Differential Geometry 2 (1968), 1–7. MR 0232311
(38 #636)
- 6.
J.
F. Plante, A generalization of the Poincaré-Bendixson
theorem for foliations of codimension one, Topology
12 (1973), 177–181. MR 0341502
(49 #6253)
- 7.
Caroline
Series, Foliations of polynomial growth are hyperfinite,
Israel J. Math. 34 (1979), no. 3, 245–258
(1980). MR
570884 (82i:28019), http://dx.doi.org/10.1007/BF02760886
- 1.
- R. Brooks, The fundamental group and the spectrum of the Laplacian, Comment. Math. Helv. (to appear). MR 656213
- 2.
- R. Brooks, The spectral geometry of foliations (to appear). MR 749263
- 3.
- J. Cheeger, A lower bound for the smallest eigenvalue of the Laplacian, Problems in Analysis (Gunning, (ed.)), Princeton Univ. Press, Princeton, N. J., pp. 195-199. MR 402831
- 4.
- E. Følner, On groups with full Banach mean value, Math. Scand. 3 (1955), 243-254. MR 79220
- 5.
- J. Milnor, A note on curvature and fundamental group, J. Differential Geom. 2 (1968), 1-7. MR 232311
- 6.
- J. Plante, A generalization of the Poincaré-Bendixson Theorem for foliations of codimension 1, Topology 12 (1973), 177-181. MR 341502
- 7.
- C. Series, Foliations of polynomial growth are hyperfinite, Israel J. Math. 34 (1979), 245-258. MR 570884
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0273-0979-1982-14973-4
PII:
S 0273-0979(1982)14973-4
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