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Radon transforms and the rigidity of the grassmannians /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, N.J. ; Woodstock :
Princeton University Press,
2004.
|
| Colección: | Annals of mathematics studies ;
no. 156. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Gasqui, Jacques. | |
| 245 | 1 | 0 | |a Radon transforms and the rigidity of the grassmannians / |c Jacques Gasqui and Hubert Goldschmidt. |
| 260 | |a Princeton, N.J. ; |a Woodstock : |b Princeton University Press, |c 2004. | ||
| 300 | |a 1 online resource (333 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Annals of mathematics studies ; |v no. 156 | |
| 520 | |a 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. | ||
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references (pages 357-361) and index. | ||
| 505 | 0 | 0 | |t Frontmatter -- |t TABLE OF CONTENTS -- |t INTRODUCTION -- |t Chapter I. Symmetric Spaces and Einstein Manifolds -- |t Chapter II. Radon Transforms on Symmetric Spaces -- |t Chapter III. Symmetric Spaces of Rank One -- |t Chapter IV. The Real Grassmannians -- |t Chapter V. The Complex Quadric -- |t Chapter VI. The Rigidity of the Complex Quadric -- |t Chapter VII. The Rigidity of the Real Grassmannians -- |t Chapter VIII. The Complex Grassmannians -- |t Chapter IX. The Rigidity of the Complex Grassmannians -- |t Chapter X. Products of Symmetric Spaces -- |t References -- |t Index. |
| 546 | |a In English. | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 600 | 1 | 0 | |a Goldschmidt, Hubert, |d 1942- |
| 650 | 0 | |a Radon transforms. | |
| 650 | 0 | |a Rigidity (Geometry) | |
| 650 | 6 | |a Transformations de Radon. | |
| 650 | 6 | |a Rigidité (Géométrie) | |
| 650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Differential. |2 bisacsh | |
| 650 | 7 | |a Rigidity (Geometry) |2 fast | |
| 650 | 7 | |a Radon transforms |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Gasqui, Jacques. |t Radon transforms and the rigidity of the grassmannians. |d Princeton, N.J. ; Woodstock : Princeton University Press, 2004 |z 0691118981 |z 9780691118987 |w (OCoLC)56446722 |
| 830 | 0 | |a Annals of mathematics studies ; |v no. 156. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt7t8th |z Texto completo |
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