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Radon Transforms and the Rigidity of the Grassmannians (AM-156)
Jacques Gasqui
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Description for Radon Transforms and the Rigidity of the Grassmannians (AM-156)
Paperback. Offers an 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. This book focuses on the spectral rigidity problem. Series: Annals of Mathematics Studies. Num Pages: 384 pages, black & white illustrations. BIC Classification: PB. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 26. Weight in Grams: 542.
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? The authors comprehensively treat the results ... Read more
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? The authors comprehensively treat the results ... Read more
Product Details
Format
Paperback
Publication date
2004
Publisher
Princeton University Press United States
Number of pages
384
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
384
Place of Publication
New Jersey, United States
ISBN
9780691118994
SKU
V9780691118994
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Jacques Gasqui
Jacques Gasqui is Professor of Mathematics at Institut Fourier, Universite de Grenoble I. Hubert Goldschmidt is Visiting Professor of Mathematics at Columbia University and Professeur des Universites in France.
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