Radon Transforms and the Rigidity of the Grassmannians

by Hubert Goldschmidt and Jacques Gasqui

Book Overview

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...

• Format: Hardcover
• Language: English
• ISBN: 0691118981
• ISBN13: 9780691118987
• Release Date: February 2004
• Publisher: Princeton University Press
• Length: 384 Pages
• Weight: 1.50 lbs.
• Dimensions: 1.2" x 6.0" x 9.3"