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OverviewThe authors develop in detail the theory of (almost) c-projective geometry, a natural analogue of projective differential geometry adapted to (almost) complex manifolds. The authors realise it as a type of parabolic geometry and describe the associated Cartan or tractor connection. A Kahler manifold gives rise to a c-projective structure and this is one of the primary motivations for its study. The existence of two or more Kahler metrics underlying a given c-projective structure has many ramifications, which the authors explore in depth. As a consequence of this analysis, they prove the Yano–Obata Conjecture for complete Kahler manifolds: if such a manifold admits a one parameter group of c-projective transformations that are not affine, then it is complex projective space, equipped with a multiple of the Fubini-Study metric. Full Product DetailsAuthor: David M Calderbank , Michael G. Eastwood , Vladimir S. Matveev , Katharina NeusserPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.280kg ISBN: 9781470443009ISBN 10: 1470443007 Pages: 267 Publication Date: 30 March 2021 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsReviewsAuthor InformationDavid M Calderbank, University of Bath, United Kingdom Michael G. Eastwood, University of Adelaide, Australia. Vladimir S. Matveev, FSU Jena, Germany. Katharina Neusser, Charles University, Prague, The Czech Republic Tab Content 6Author Website:Countries AvailableAll regions |