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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Amenability and the spectrum of the Laplacian

Author(s): Robert Brooks
Journal: Bull. Amer. Math. Soc. 6 (1982), 87-89.
MSC (1980): Primary 58G25
MathSciNet review: 634438
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References | Similar articles | Additional information

References:

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: 10.1090/S0273-0979-1982-14973-4
PII: S 0273-0979(1982)14973-4




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