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Sourcefile: camerareadycopy2 Date: September 1, 2011 Page: i Annals of Mathematics Studies Number 178 This page intentionally left blank Sourcefile: camerareadycopy2 Date: September 1, 2011 Page: iii The Ambient Metric Charles Fefferman C. Robin Graham PRINCETON UNIVERSITY PRESS PRINCETON AND OXFORD 2012 Sourcefile: camerareadycopy2 Date: September 1, 2011 Page: iv Copyright(cid:13)c 2012byPrincetonUniversityPress PublishedbyPrincetonUniversityPress 41WilliamStreet,Princeton,NewJersey08540 IntheUnitedKingdom:PrincetonUniversityPress 6OxfordStreet,Woodstock,OxfordshireOX201TW AllRightsReserved LibraryofCongressCataloging-in-PublicationData Fefferman,Charles,1949- Theambientmetric/CharlesFefferman,C.RobinGraham. p.cm.–(Annalsofmathematicsstudies;no.178) Includesbibliographicalreferencesandindex. ISBN 978-0-691-15313-1 (hardback : acid-free paper) – ISBN 978-0- 691-15314-8 (pbk. : acid-free paper) 1. Conformal geometry. 2. Conformal invariants.I.Graham,C.Robin,1954-II.Title. QA609.F442011 516.3′7–dc23 2011023939 BritishLibraryCataloging-in-PublicationDataisavailable ThisbookhasbeencomposedininLATEX The publisher would like to acknowledge the authors of this volume for providingthecamera-readycopyfromwhichthisbookwasprinted. Printedonacid-freepaper.∞ press.princeton.edu PrintedintheUnitedStatesofAmerica 10987654321 Sourcefile: camerareadycopy2 Date: September 1, 2011 Page: v To Julie, To Charles and Jean Graham, with love and admiration with gratitude This page intentionally left blank Sourcefile: camerareadycopy2 Date: September 1, 2011 Page: vii Contents Chapter 1. Introduction 1 Chapter 2. Ambient Metrics 9 Chapter 3. Formal Theory 17 Chapter 4. Poincaré Metrics 42 Chapter 5. Self-dual Poincaré Metrics 50 Chapter 6. Conformal Curvature Tensors 56 Chapter 7. Conformally Flat and Conformally Einstein Spaces 67 Chapter 8. Jet Isomorphism 82 Chapter 9. Scalar Invariants 97 Bibliography 107 Index 113 This page intentionally left blank Sourcefile: camerareadycopy2 Date: September 1, 2011 Page: ix The Ambient Metric

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This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n+1 dimensions having the co

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124 Pages·2011·0.67 MB·English

by Charles Fefferman

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This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n+1 dimensions having the co

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Author:	Charles Fefferman
Publication Year:	2011
Pages:	124
Language:	English
File Size:	0.67
Format:	PDF
Price:	FREE

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