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Record Nr. |
UNINA9910954166603321 |
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Autore |
Gasqui Jacques |
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Titolo |
Radon transforms and the rigidity of the Grassmannians / / 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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9786612158988 |
9781282158986 |
1282158988 |
9781400826179 |
1400826179 |
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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 |
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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. |
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2. |
Record Nr. |
UNINA9910974014103321 |
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Autore |
Kay Peter |
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Titolo |
Blood / / Peter Kay |
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Pubbl/distr/stampa |
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Brisbane., : Interactive Press, 2012 |
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ISBN |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (152 p.) |
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Disciplina |
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Soggetti |
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Time travel |
Australia Fiction |
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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 contenuto |
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Cover; Contents; 1. Fish at the market; 2. The beginning of the end; 3. Mr Pollock and the black crawlers; 4. Too bloody right!; 5. You tell me; 6. Torn, shorn, blistered and black; 7. PHUT, PHUT, PHUT; 8. Exceptional cases; 9. Clark Kent specs; 10. Fifty-two pick-up; 11. North Shore kids; 12. Deal?; 13. Daisy's angel; 14. Smiles and whispers; 15. Carnal knowledge; 16. Flashbang rocket; 17. A mad weaver's tartan; 18. Lollywater and leg opener; 19. Problem child; 20. Big pink helmet; 21. Long, black cars; 22. Ultimate privilege; 23. Razorback; 24. Grace the |
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Ace; 25. Tales from a blue suitcase |
26. Posters27. Chum; 28. Photographs; 29. Shit-hot guru; 30. There goes my Senior Citizen Award; 31. Not like a family; 32. Portraits; 33. The hand of God; 34. The Selenas; 35. Snow White; 36. Darkness; 37. Boneyard; 38. Frida and Diego; 39. Sweet flying man; 40. Australian hero; 41. Conveniently gathered; 42. Clear blue sky; 43. Smooth glide approach; 44. Small black dot; 45. That US sub ...; 46. Strings of sardines; 47. Storm |
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Sommario/riassunto |
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A fiction novel using the magical realism style. This is more than just a time-travel novel - Blood is a far-reaching and multi-layered work that must be read to be believed. Playfully eccentric in places and heart-achingly sad in others, with a dark, comedic vein lying just below the surface, Blood is an exceptional work of fiction. |
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