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Conformal geometry

  • The Ambient Metric (AM-178)by Charles Fefferman; C. Robin Graham

    Princeton University Press 2011; US$ 80.00

    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 conformal manifold as its conformal infinity.... more...

  • Introduction to Möbius Differential Geometryby Udo Hertrich-Jeromin; J. W. S. Cassels

    Cambridge University Press 2003; US$ 65.00

    An introduction to the conformal differential geometry of surfaces and submanifolds. The book discusses those aspects of the geometry of surfaces that only refer to an angle measurement but not to a length measurement. The book presents different methods (models) for thinking about geometry and performing computations. more...

  • Recent Progress In Conformal Geometryby Abbas Bahri; Yongzhong Xu

    World Scientific Publishing Company 2007; US$ 140.40

    This book presents a new front of research in conformal geometry, on sign-changing Yamabe-type problems and contact form geometry in particular. New ground is broken with the establishment of a Morse lemma at infinity for sign-changing Yamabe-type problems. This family of problems, thought to be out of reach a few years ago, becomes a family of problems... more...

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