Radon Transforms and the Rigidity of the Grassmannians (AM-156) / / Jacques Gasqui, Hubert Goldschmidt.

This book provides the first unified examination of the relationship between Radon transforms on symmetric spaces of compact type and the infinitesimal versions of two fundamental rigidity problems in Riemannian geometry. Its primary focus is the spectral rigidity problem: Can the metric of a given...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2009]
©2004
Year of Publication:2009
Edition:Course Book
Language:English
Series:Annals of Mathematics Studies ; 156
Online Access:
Physical Description:1 online resource (384 p.)
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Table of Contents:
  • Frontmatter
  • TABLE OF CONTENTS
  • INTRODUCTION
  • Chapter I. Symmetric Spaces and Einstein Manifolds
  • Chapter II. Radon Transforms on Symmetric Spaces
  • Chapter III. Symmetric Spaces of Rank One
  • Chapter IV. The Real Grassmannians
  • Chapter V. The Complex Quadric
  • Chapter VI. The Rigidity of the Complex Quadric
  • Chapter VII. The Rigidity of the Real Grassmannians
  • Chapter VIII. The Complex Grassmannians
  • Chapter IX. The Rigidity of the Complex Grassmannians
  • Chapter X. Products of Symmetric Spaces
  • References
  • Index