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Radon transforms and the rigidity of the grassmannians / Jacques Gasqui and Hubert Goldschmidt.

By: Material type: TextTextSeries: Annals of mathematics studies ; no. 156.Publication details: Princeton, N.J. ; Woodstock : Princeton University Press, 2004.Description: 1 online resource (333 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781400826179
  • 1400826179
  • 9780691118987
  • 0691118981
Subject(s): Additional physical formats: Print version:: Radon transforms and the rigidity of the grassmannians.DDC classification:
  • 515/.723 22
LOC classification:
  • QA649 .G37 2007eb
Other classification:
  • 31.52
  • 31.46
Online resources:
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.
Summary: 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 Riemannian symmetric space of compact type be characterized by means of the spectrum of its Laplacian? It also addresses a question rooted in the Blaschke problem: Is a Riemannian metric on a projective space whose geodesics are all closed and of the same length isometric to the canonical metric? Th.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

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 Riemannian symmetric space of compact type be characterized by means of the spectrum of its Laplacian? It also addresses a question rooted in the Blaschke problem: Is a Riemannian metric on a projective space whose geodesics are all closed and of the same length isometric to the canonical metric? Th.

Print version record.

Includes bibliographical references (pages 357-361) and index.

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.

In English.

Added to collection customer.56279.3

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