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Compact manifolds with a little negative curvature
Author(s):
K. D.
Elworthy;
S.
Rosenberg
Journal:
Bull. Amer. Math. Soc.
20
(1989),
41-44.
MSC (1985):
Primary 53C20;
Secondary 58G11, 58G32, 58C40
MathSciNet review:
955942
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Additional information
References:
- 1.
- P. Bérard and G. Besson, Number of bound states and estimates for some geometric invariants, Preprint. MR 965523
- 2.
- C. Croke, Some isoperimetric inequalities and eigenvalue estimates, Ann. Sci. École Norm. Sup. Paris 13 (1980), 419-435. MR 608287
- 3.
- K. D. Elworthy and S. Rosenberg, Generalized Bochner Theorems and the spectrum of complete manifolds, Acta Math. Appl. (to appear). MR 962879
- 4.
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- 5.
- M. Gromov, Paul Levy's isoperimetric constant, Inst. Hautes Études Sci. Publ. Math., preprint, 1980.
- 6.
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- 7.
- P. Li, On the Sobolev constant and the p-spectrum of a compact Riemannian manifold, Ann. Sci. École Norm. Sup. Paris 13 (1980), 451-469. MR 608289
- 8.
- P. Li and S. T. Yau, Estimates of eigenvalues on a compact Riemannian manifold, Proc. Sympos. Pure Math., vol. 36, Amer. Math. Soc., Providence, R.I., 1980, pp. 205-240. MR 573435
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- P. Li and S. T. Yau, On the parabolic kernel of the Schrödinger operator, Acta Math. 156 (1986), 153-201. MR 834612
- 10.
- M. Micallef and J. D. Moore, Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes, Ann. of Math. (2) 127 (1988), 199-227. MR 924677
- 11.
- J. Milnor, A note on curvature and fundamental group, J. Differential Geom. 2 (1968), 1-7. MR 232311
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Additional Information:
DOI:
10.1090/S0273-0979-1989-15691-7
PII:
S 0273-0979(1989)15691-7
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