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Record Nr. |
UNINA9910778216403321 |
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Autore |
Gasqui Jacques |
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Titolo |
Radon transforms and the rigidity of the Grassmannians [[electronic resource] /] / Jacques Gasqui and Hubert Goldschmidt |
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Pubbl/distr/stampa |
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Princeton, N.J., : Princeton University Press, 2004 |
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ISBN |
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1-282-15898-8 |
9786612158988 |
1-4008-2617-9 |
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Edizione |
[Course Book] |
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Descrizione fisica |
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1 online resource (385 p.) |
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Collana |
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Annals of mathematics studies ; ; no. 156 |
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Altri autori (Persone) |
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GoldschmidtHubert <1942-> |
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Disciplina |
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Soggetti |
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Radon transforms |
Grassmann manifolds |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. [357]-361) and index. |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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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 |
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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. |
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2. |
Record Nr. |
UNINA9910791483403321 |
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Titolo |
China EFL curriculum reform [[electronic resource] /] / Martin Wolff, editor |
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Pubbl/distr/stampa |
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New York, : Nova Science Publishers, 2009 |
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ISBN |
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Descrizione fisica |
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1 online resource (305 p.) |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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English language - Study and teaching - Chinese speakers |
English language - Study and teaching - China |
Second language acquisition - China |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Language policy in China. Linguistic failures / (Niu/Wolff) -- China or Chingland / (Niu/Wolff) -- English or Chinglish / (Niu/Wolff) -- China's EFL/ESL goals and objectives / (Teng/Niu, Wolff) -- EFL/ESL teaching in China: unanswered questions / (Niu/Wolff) -- English as a Foreign Language: the modern day -- Trojan horse? -- Curriculum reform. Chinese university diploma: can its international image be improved? / (Niu/Wolff) -- Can you get a first class education at a third tier college in China? / (Teng/Niu/Gregory/Wolff) -- Use and abuse of teaching with movies / (Niu/Wolff) -- China EFL: programming human robots / |
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(Wolff) -- China EFL: what is holistic English? / (Niu/Wolff) -- China EFL: a new paradigm / (Niu/Wolff) -- Holistic English -- The revolution has begun, but a long march lies ahead / (Wolff/Niu/Teng) -- Incompatibility of corporate training and holistic English / (Wolff) -- Grade inflation / (Wolff) -- English corner / (Wolff) -- Why Chinese universities do not provide an English speaking environment / (Wolff). |
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Sommario/riassunto |
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"A compilation of articles arising from the authors' seven years of personal experiences, study, research and analysis of EFL teaching in China between 2002 and 2008.". |
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