{"product_id":"the-ambient-metric-9780691153148","title":"The Ambient Metric","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eDevelops and applies a theory of the ambient metric in conformal geometry. This title includes the derivation of the ambient obstruction tensor and an analysis of the cases of conformally flat and conformally Einstein spaces. It concludes with a construction and characterization of scalar conformal invariants in terms of ambient curvature.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"[T]his careful exposition has been well worth the wait!\"--Michael G. Eastwood, Mathematical Reviews Clippings \"It is concise, but detailed, accurate, and comprehensive in its treatment of the topics it covers, including their technical details. The book will be of interest to anyone working in, or using, conformal geometry or closely related structures for mathematics, theoretical physics, or physical applications.\"--Rod Gover, SIAM Review \"Nowadays, it seems that any of the more subtle advances in local conformal differential geometry depend on the ambient metric in an essential way. Such advances continue apace. The careful exposition provided by the ambient metric has been well worth the wait!\"--Michael Eastwood, Bulletin of the American Mathematical Society\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eChapter 1. Introduction 1  Chapter 2. Ambient Metrics 9  Chapter 3. Formal Theory 17  Chapter 4. Poincar'e Metrics 42  Chapter 5. Self-dual Poincar'e 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","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":49403788558679,"sku":"9780691153148","price":55.25,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691153148.jpg?v=1730484544","url":"https:\/\/bookcurl.com\/products\/the-ambient-metric-9780691153148","provider":"Book Curl","version":"1.0","type":"link"}