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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 |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, N.J. ; Woodstock :
Princeton University Press,
2004.
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| Colección: | Annals of mathematics studies ;
no. 156. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Descripción Física: | 1 online resource (333 pages) |
| Bibliografía: | Includes bibliographical references (pages 357-361) and index. |
| ISBN: | 9781400826179 1400826179 9780691118987 0691118981 |