Negative Ricci curvature and isometry group
Xianzhe Dai, Zhongmin Shen, and Guofang Wei
Source: Duke Math. J. Volume 76, Number 1
(1994), 59-73.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077286739
Mathematical Reviews number (MathSciNet): MR1301186
Zentralblatt MATH identifier: 0820.53045
Digital Object Identifier: doi:10.1215/S0012-7094-94-07603-5
References
[AS] T. Adachi and T. Sunada, Energy spectrum of certain harmonic mappings, Compositio Math. 56 (1985), no. 2, 153–170.
Mathematical Reviews (MathSciNet): MR87a:58046
Zentralblatt MATH: 0578.58009
[A] M. T. Anderson, Convergence and rigidity of manifolds under Ricci curvature bounds, Invent. Math. 102 (1990), no. 2, 429–445.
Mathematical Reviews (MathSciNet): MR92c:53024
Zentralblatt MATH: 0711.53038
Digital Object Identifier: doi:10.1007/BF01233434
[AC] M. T. Anderson and J. Cheeger, $C\sp \alpha$-compactness for manifolds with Ricci curvature and injectivity radius bounded below, J. Differential Geom. 35 (1992), no. 2, 265–281.
Mathematical Reviews (MathSciNet): MR93c:53028
Zentralblatt MATH: 0774.53021
Project Euclid: euclid.jdg/1214448075
[Be] P. H. Berard, From vanishing theorems to estimating theorems: the Bochner technique revisited, Bull. Amer. Math. Soc. (N.S.) 19 (1988), no. 2, 371–406.
Mathematical Reviews (MathSciNet): MR89i:58152
Zentralblatt MATH: 0662.53037
Digital Object Identifier: doi:10.1090/S0273-0979-1988-15679-0
Project Euclid: euclid.bams/1183554720
[Bo] S. Bochner, Vector fields and Ricci curvature, Bull. Amer. Math. Soc. 52 (1946), 776–797.
Mathematical Reviews (MathSciNet): MR8,230a
Zentralblatt MATH: 0060.38301
Digital Object Identifier: doi:10.1090/S0002-9904-1946-08647-4
Project Euclid: euclid.bams/1183509635
[Br] R. Brocks, Abstandsfunktion, Riccikrümmung und Injektivitätsradius, University of Münster, 1993, Diplomarbeit.
[CE] J. Cheeger and D. G. Ebin, Comparison theorems in Riemannian geometry, North-Holland Publishing Co., Amsterdam, 1975.
Mathematical Reviews (MathSciNet): MR56:16538
Zentralblatt MATH: 0309.53035
[CH] E. Calabi and P. Hartman, On the smoothness of isometries, Duke Math. J. 37 (1970), 741–750.
Mathematical Reviews (MathSciNet): MR44:957
Zentralblatt MATH: 0203.54304
Digital Object Identifier: doi:10.1215/S0012-7094-70-03789-0
Project Euclid: euclid.dmj/1077379303
[DW] X. Dai and G. Wei, A comparison-estimate of Toponogov type for Ricci curvature, preprint.
Mathematical Reviews (MathSciNet): MR1348801
Zentralblatt MATH: 0834.53035
Digital Object Identifier: doi:10.1007/BF01460991
[H] H. Huber, Über die Isometriegruppe einer kompakten Mannigfaltigkeiten negativer Krümmung, Helv. Phys. Acta 45 (1971), 277–288.
[Im] H. C. Im Hof, Über die Isometriegruppe bei kompakten Mannigfaltigkeiten negativer Krümmung, Comment. Math. Helv. 48 (1973), 14–30.
Mathematical Reviews (MathSciNet): MR48:7161
Zentralblatt MATH: 0258.53040
Digital Object Identifier: doi:10.1007/BF02566108
[K] A. Katsuda, The isometry groups of compact manifolds with negative Ricci curvature, Proc. Amer. Math. Soc. 104 (1988), no. 2, 587–588.
Mathematical Reviews (MathSciNet): MR89h:53094
Zentralblatt MATH: 0693.53012
Digital Object Identifier: doi:10.2307/2047016
[L] J. Lohkamp, Negatively Ricci curved manifolds, Bull. Amer. Math. Soc. (N.S.) 27 (1992), no. 2, 288–291.
Mathematical Reviews (MathSciNet): MR93c:53026
Zentralblatt MATH: 0753.53026
Digital Object Identifier: doi:10.1090/S0273-0979-1992-00325-7
[M] M. Maeda, The isometry groups of compact manifolds with non-positive curvature, Proc. Japan Acad. 51 (1975 suppl), 790–794.
Mathematical Reviews (MathSciNet): MR53:1475
Zentralblatt MATH: 0341.53026
Digital Object Identifier: doi:10.3792/pja/1195518435
Project Euclid: euclid.pja/1195518435
[Ym] T. Yamaguchi, The isometry groups of manifolds of nonpositive curvature with finite volume, Math. Z. 189 (1985), no. 2, 185–192.
Mathematical Reviews (MathSciNet): MR86g:53050
Zentralblatt MATH: 0554.53029
Digital Object Identifier: doi:10.1007/BF01175043
[Y] K. Yano, Integral formulas in Riemannian geometry, Pure and Applied Mathematics, No. 1, Marcel Dekker Inc., New York, 1970.
Mathematical Reviews (MathSciNet): MR44:2174
Zentralblatt MATH: 0213.23801
Duke Mathematical Journal