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OverviewMikhail Gromov introduced pseudo-holomorphic curves into symplectic geometry in 1985. Since then, pseudo-holomorphic curves have taken on great importance in many fields. The aim of this book is to present the original proof of Gromov's compactness theorem for pseudo-holomorphic curves in detail. Local properties of pseudo-holomorphic curves are investigated and proved from a geometric viewpoint. Properties of particular interest are isoperimetric inequalities, a monotonicity formula, gradient bounds and the removal of singularities. A special chapter is devoted to relevant features of hyperbolic surfaces, where pairs of pants decomposition and thickthin decomposition are described. The book is essentially self-contained and should also be accessible to students with a basic knowledge of differentiable manifolds and covering spaces. Full Product DetailsAuthor: Christoph HummelPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: 1997 ed. Volume: 151 Weight: 0.454kg ISBN: 9783764357351ISBN 10: 3764357355 Pages: 135 Publication Date: 01 May 1997 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Out of stock The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsReviews...the book provides a self-contained and for the most part excellent elaboration of Gromov's proof of the compactness theorem. -- Mathematical Reviews " ""...the book provides a self-contained and for the most part excellent elaboration of Gromov's proof of the compactness theorem."" -- Mathematical Reviews " Author InformationTab Content 6Author Website:Countries AvailableAll regions |