Categories

Radon Transforms and the Rigidity of the Grassmannians download

Download Radon Transforms and the Rigidity of the Grassmannians
  • Upload date: 30-11-2016, 16:25
  • Category: Science

2004-01-25 | ISBN: 069111899X, 0691118981 | PDF | 384 Pages | 3.51 MB

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 concerning Radon transforms and the infinitesimal versions of these two problems. Their main result implies that most Grassmannians are spectrally rigid to the first order. This is particularly important, for there are still few isospectrality results for positively curved spaces and these are the first such results for symmetric spaces of compact type of rank >1. The authors exploit the theory of overdetermined partial differential equations and harmonic analysis on symmetric spaces to provide criteria for infinitesimal rigidity that apply to a large class of spaces.
A substantial amount of basic material about Riemannian geometry, symmetric spaces, and Radon transforms is included in a clear and elegant presentation that will be useful to researchers and advanced students in differential geometry.

Download

http://longfiles.com/hythuwip7iwq/Radon_Transforms_and_the_Rigidity_of_the_Grassmannians.zip.html

Download Radon Transforms and the Rigidity of the Grassmannians
Loading...

Frequently Asked Question:

How to Read Online/Download Radon Transforms and the Rigidity of the Grassmannians FULL Ebook in All formats?

Where can I find a link to Read Online / Download Radon Transforms and the Rigidity of the Grassmannians Free PDF BOOK?

How to get full access to read / Download Radon Transforms and the Rigidity of the Grassmannians ?

Review of Radon Transforms and the Rigidity of the Grassmannians?

Available Ebook Formats : AZW - BBeB - CHM - DOC - ePUB - FB2 - HTML - IMP - MOBI - PalmDOC - PRC - PDF - RB - RTF - STK - TXT - Wolf - XEB

Related files

Download ebook A Primer on Hilbert Space Theory: Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological GroupsA Primer on Hilbert Space Theory: Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups Download ebook Groups as Galois Groups: An IntroductionGroups as Galois Groups: An Introduction Download ebook Some Applications of Functional Analysis in Mathematical PhysicsSome Applications of Functional Analysis in Mathematical Physics Download ebook Advanced Real AnalysisAdvanced Real Analysis Download ebook A Course in Differential GeometryA Course in Differential Geometry Download ebook Measure and Integration TheoryMeasure and Integration Theory Download ebook Sobolev Spaces in Mathematics I: Sobolev Type InequalitiesSobolev Spaces in Mathematics I: Sobolev Type Inequalities Download ebook Geometry of Vector Sheaves: An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and ApplicationsGeometry of Vector Sheaves: An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications Download ebook Nonlinear Differential Equations of Monotone Types in Banach SpacesNonlinear Differential Equations of Monotone Types in Banach Spaces Download ebook The Implicit Function Theorem: History, Theory, and ApplicationsThe Implicit Function Theorem: History, Theory, and Applications Download ebook Eigenvalues, Embeddings and Generalised Trigonometric FunctionsEigenvalues, Embeddings and Generalised Trigonometric Functions Download ebook Spinors in Four-Dimensional SpacesSpinors in Four-Dimensional Spaces Download ebook Riemannian Geometry in an Orthogonal FrameRiemannian Geometry in an Orthogonal Frame Download ebook General Parabolic Mixed Order Systems in Lp and ApplicationsGeneral Parabolic Mixed Order Systems in Lp and Applications Download ebook The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh TypeThe Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type Download ebook Normally Hyperbolic Invariant Manifolds: The Noncompact CaseNormally Hyperbolic Invariant Manifolds: The Noncompact Case Download ebook Mathematical Methods in Physics (2nd edition)Mathematical Methods in Physics (2nd edition) Download ebook Classification of Higher Dimensional Algebraic VarietiesClassification of Higher Dimensional Algebraic Varieties Download ebook Homogeneous Finsler SpacesHomogeneous Finsler Spaces Download ebook Old and New Aspects in Spectral GeometryOld and New Aspects in Spectral Geometry Download ebook Modern Methods in the Calculus of Variations: L^p SpacesModern Methods in the Calculus of Variations: L^p Spaces Download ebook Monoidal Topology: A Categorical Approach to Order, Metric, and TopologyMonoidal Topology: A Categorical Approach to Order, Metric, and Topology Download ebook Representation Theory and Complex AnalysisRepresentation Theory and Complex Analysis Download ebook Hardy Spaces on Homogeneous GroupsHardy Spaces on Homogeneous Groups Download ebook Indefinite inner product spacesIndefinite inner product spaces Download ebook Real Analysis and Foundations, Third EditionReal Analysis and Foundations, Third Edition Download ebook Functional Spaces for the Theory of Elliptic Partial Differential EquationsFunctional Spaces for the Theory of Elliptic Partial Differential Equations Download ebook Manifolds and Differential GeometryManifolds and Differential Geometry Download ebook From Geometry to TopologyFrom Geometry to Topology Download ebook Quasi-symmetric DesignsQuasi-symmetric Designs Download ebook Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg GroupHarmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group Download ebook Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces: Topics from Differential Geometry and Geometric AnalysisCoulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces: Topics from Differential Geometry and Geometric Analysis

Book tags