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C-Projective Geometry (Memoirs of the American Mathematical Society)

Geometry & Topology

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About the Author David M Calderbank, University of Bath, United KingdomMichael G. Eastwood, University of Adelaide, Australia.Vladimir S. Matveev, FSU Jena, Germany.Katharina Neusser, Charles University, Prague, The Czech Republic Product Description The 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.

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Format: paperback
ASIN: 1470443007
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 30 March 2021
Listed Since: 09 October 2020

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C-Projective Geometry (Memoirs of the American Mathematical Society)

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