Duke Mathematical Journal

Metric pinching of locally symmetric spaces

Conrad Plaut
Source: Duke Math. J. Volume 73, Number 1 (1994), 155-162.
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Primary Subjects: 53C23
Secondary Subjects: 53C20
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077288610
Mathematical Reviews number (MathSciNet): MR1257280
Zentralblatt MATH identifier: 0807.53065
Digital Object Identifier: doi:10.1215/S0012-7094-94-07305-5

References

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Mathematical Reviews (MathSciNet): MR788325
[K] A. Katsuda, A pinching problem for locally homogeneous spaces, J. Math. Soc. Japan 41 (1989), no. 1, 57–74.
Mathematical Reviews (MathSciNet): MR89m:53065
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Digital Object Identifier: doi:10.2969/jmsj/04110057
Project Euclid: euclid.jmsj/1230128846
[MR] Min-Oo and E. Ruh, Comparison theorems for compact symmetric spaces, Ann. Sci. École Norm. Sup. (4) 12 (1979), no. 3, 335–353.
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[Pe] G. Perelman, Alexandrov's spaces of curvature bounded from below II, preprint.
[P1] C. Plaut, Almost Riemannian spaces, J. Differential Geom. 34 (1991), no. 2, 515–537.
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Project Euclid: euclid.jdg/1214447219
[P2] C. Plaut, Metric curvature, convergence, and topological finiteness, Duke Math. J. 66 (1992), no. 1, 43–57.
Mathematical Reviews (MathSciNet): MR93e:53051
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Digital Object Identifier: doi:10.1215/S0012-7094-92-06602-6
Project Euclid: euclid.dmj/1077294664
[P3] C. Plaut, Spaces of Wald curvature bounded below, to appear in J. Geom. Anal.
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[W] F. Wilhelm, Collapsing to almost Riemannian spaces, Indiana Univ. Math. J. 41 (1992), no. 4, 1119–1142.
Mathematical Reviews (MathSciNet): MR94a:53076
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Digital Object Identifier: doi:10.1512/iumj.1992.41.41056
[Y1] T. Yamaguchi, Collapsing and pinching under a lower curvature bound, Ann. of Math. (2) 133 (1991), no. 2, 317–357.
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Mathematical Reviews (MathSciNet): MR1427772
Zentralblatt MATH: 0885.53041

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