Radon transforms and the rigidity of the grassmannians /

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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gasqui, Jacques
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. ; Woodstock : Princeton University Press, 2004.
Colección:Annals of mathematics studies ; no. 156.
Temas:
Goldschmidt, Hubert, > 1942-
Radon transforms.
Rigidity (Geometry)
Transformations de Radon.
Rigidité (Géométrie)
MATHEMATICS > Functional Analysis.
MATHEMATICS > Geometry > Differential.
Radon transforms
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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