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 t…
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"As buildings become taller, bridges longer and floors wider, deflections become more significant. This book presents qualitative relationships between internal forces and deflection, and demonstrates principles and measures, based on these internal forces, for designing structu…