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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Local rigidity of symmetric spaces
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by V. Schroeder and W. Ziller
Trans. Amer. Math. Soc. 320 (1990), 145-160
DOI: https://doi.org/10.1090/S0002-9947-1990-0958901-X

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 $\ge 3$.
References
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Bibliographic Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 320 (1990), 145-160
  • MSC: Primary 53C35
  • DOI: https://doi.org/10.1090/S0002-9947-1990-0958901-X
  • MathSciNet review: 958901