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Negatively Ricci curved manifolds
Author(s):
Joachim
Lohkamp
Journal:
Bull. Amer. Math. Soc.
27
(1992),
288-291.
MSC (1991):
Primary 53C20, 57R99
MathSciNet review:
1161276
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References:
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- T. Aubin, M\'etriques riemanniennes et courbure, J. Differential Geom. \textbf{4} (1970), 383--424. MR 279731
- [BK]
- J. Bland and M. Kalka, Negative scalar curvature metrics on noncompact manifolds, Trans. Amer. Math. Soc. \textbf{316} (1989), 433--446. MR 987159
- [Bg]
- J. P. Bourguignon, \emph{Ricci curvature and Einstein metrics, {\rm Global Differential Geometry}}, Springer, New York, 1981 pp.~42--63. MR 636265
- [Br1]
- R. Brooks, A construction of metrics of negative Ricci curvature, J. Differential Geom. \textbf{29} (1989), 85--94. MR 978077
- [G]
- L. Z Gao, The construction of negatively Ricci curved manifolds, Math. Ann. \textbf{271 {\rm (1985)}}, 185--208. MR 783551
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- L. Z. Gao and S. T. Yau, The existence of negatively Ricci curved on three manifolds, Invent. Math. \textbf{85} (1986), 637--652. MR 848687
- [Gr]
- M. Gromov, Structures m\'etriques pour les vari\'et\'es riemanniennes, Editions CEDIC, Paris, 1981. MR 682063
- [K]
- J. L. Kazdan, \emph{Prescribing the curvature of a Riemannian manifold}, Conf. Board Math. Sci., Washington, DC, 1985. MR 787227
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- W. Thurston, \emph{The geometry and topology of three manifolds}, Princeton, NJ, 1980. MR
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- S. T. Yau, \emph{Seminar on differential geometry, problem section}, Princeton Univ. Press, Princeton, NJ, 1982. MR 645762
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Additional Information:
DOI:
10.1090/S0273-0979-1992-00325-7
PII:
S 0273-0979(1992)00325-7
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