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OverviewIdeas of projective geometry keep reappearing in seemingly unrelated fields of mathematics. The authors' main goal is to emphasize connections between classical projective differential geometry and contemporary mathematics and mathematical physics. They also give new results and new proofs of classic theorems. Exercises play a prominent role: historical and cultural comments set the basic notions in a broader context. The book opens by discussing the Schwarzian derivative and its connection to the Virasoro algebra. One-dimensional projective differential geometry features strongly. Related topics include differential operators, the cohomology of the group of diffeomorphisms of the circle, and the classical four-vertex theorem. The classical theory of projective hypersurfaces is surveyed and related to some very recent results and conjectures. A final chapter considers various versions of multi-dimensional Schwarzian derivative. In sum, here is a rapid route for graduate students and researchers to the frontiers of current research in this evergreen subject. Full Product DetailsAuthor: V Ovsienko (Universit?? Lyon I Universite Lyon I Universit?? Lyon I Universit?? Lyon I) , Serge TabachnikovPublisher: Cambridge University Press Imprint: Cambridge University Press ISBN: 9781280749827ISBN 10: 1280749822 Pages: 263 Publication Date: 01 January 2004 Audience: General/trade , General Format: Electronic book text Publisher's Status: Active Availability: In stock We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |