Projective Differential Geometry Old and New Ovsienko Tabachnikov Hardback

Projective Differential Geometry Old and NewFrom the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups\nAuthor(s): V. Ovsienko, S. Tabachnikov\nFormat: Hardback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9780521831864, 978-0521831864\nSynopsis\nIdeas of projective geometry keep reappearing in seemingly unrelated fields of mathematics. The authors' main goal in this 2005 book is to emphasize connections between classical projective differential geometry and contemporary mathematics and mathematical physics. They also give results and 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 di.