1.

Record Nr.

UNINA9910778216403321

Autore

Gasqui Jacques

Titolo

Radon transforms and the rigidity of the Grassmannians [[electronic resource] /] / Jacques Gasqui and Hubert Goldschmidt

Pubbl/distr/stampa

Princeton, N.J., : Princeton University Press, 2004

ISBN

1-282-15898-8

9786612158988

1-4008-2617-9

Edizione

[Course Book]

Descrizione fisica

1 online resource (385 p.)

Collana

Annals of mathematics studies ; ; no. 156

Altri autori (Persone)

GoldschmidtHubert <1942->

Disciplina

515/.723

Soggetti

Radon transforms

Grassmann manifolds

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (p. [357]-361) and index.

Nota di contenuto

Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- Chapter I. Symmetric Spaces and Einstein Manifolds -- Chapter II. Radon Transforms on Symmetric Spaces -- Chapter III. Symmetric Spaces of Rank One -- Chapter IV. The Real Grassmannians -- Chapter V. The Complex Quadric -- Chapter VI. The Rigidity of the Complex Quadric -- Chapter VII. The Rigidity of the Real Grassmannians -- Chapter VIII. The Complex Grassmannians -- Chapter IX. The Rigidity of the Complex Grassmannians -- Chapter X. Products of Symmetric Spaces -- References -- Index

Sommario/riassunto

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.

2.

Record Nr.

UNINA9910520081103321

Autore

Thomas Robert

Titolo

Immigration Judicial Reviews : An Empirical Study / / by Robert Thomas, Joe Tomlinson

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Palgrave Macmillan, , 2021

ISBN

9783030889272

3030889270

Edizione

[1st ed. 2021.]

Descrizione fisica

1 online resource (240 pages)

Collana

Palgrave Socio-Legal Studies, , 2947-9282

Disciplina

820.8

342.41082

Soggetti

Law and the social sciences

Public law

Administrative law

Human rights

Emigration and immigration - Social aspects

Socio-Legal Studies

Public Law

Administrative Law

Human Rights

Sociology of Migration

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia



Nota di contenuto

1 Introduction -- 2 The Dominant Models of Judicial Review -- 3 Immigration Judicial Review -- 4 The Quality of Judicial Review and Administrative Decision-making -- 5 Types of Judicial Reviews -- 6 Claimants and costs -- 7 Conclusion.

Sommario/riassunto

This book analyses how the system of immigration judicial reviews works in practice, as an area which has, for decades, constituted the majority of judicial review cases and is politically controversial. Drawing upon extensive empirical research and unprecedented research access, it explores who brings judicial review challenges against immigration decisions and why, the type of immigration decisions that are challenged, how cases proceed through the judicial review process, how cases are settled out of court, and how judicial review interacts with other legal and non-legal remedies. It also examines the quality of immigration judicial review claims and the quality of the initial administrative decisions being challenged. Through developing a novel account of the operation of the immigration judicial review system in practice and the lived experience of it by judges, representatives, and claimants, this book adds a significant new perspective to the wider understanding of judicial review. Joe Tomlinson is Senior Lecturer in Public Law at the University of York, UK. His research focuses on administrative law and justice. He has a particular interest in data-driven approaches and contemporary system issues. Robert Thomas is Professor of Public Law at the University of Manchester, UK. His research interests are in the fields of public and administrative law, with a particular interest in immigration and asylum law. .