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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Local rigidity of symmetric spaces


Authors: V. Schroeder and W. Ziller
Journal: Trans. Amer. Math. Soc. 320 (1990), 145-160
MSC: Primary 53C35
MathSciNet review: 958901
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Abstract: We show that on a symmetric space of noncompact or compact type the metric is locally rigid in the sense that if one changes the metric locally but preserves the curvature bounds, then the new metric is isometric to the old one. We also prove an analytic continuation property for symmetric spaces of rank $ \ge 3$.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1990-0958901-X
PII: S 0002-9947(1990)0958901-X
Article copyright: © Copyright 1990 American Mathematical Society