5 edition of Riemannian geometry of contact and symplectic manifolds found in the catalog.
Includes bibliographical references (p. -333) and indexes.
|Statement||David E. Blair|
|Series||Progress in mathematics -- v. 203|
|LC Classifications||QA614.3 .B53 2010|
|The Physical Object|
|Pagination||xv, 343 p. :|
|Number of Pages||343|
|LC Control Number||2010932450|
From the book reviews: “This books presents an alternative route, aiming to provide the student with an introduction not only to Riemannian geometry, but also to contact and symplectic geometry. the book is leavened with an excellent collection of illustrative examples, and a wealth of exercises on which students can hone their skills.5/5(2). This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the.
The second edition of An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised has sold over 6, copies since publication in and this revision will make it even more useful. This is the only book available that is approachable by "beginners" in this subject. Abstract. This monograph deals with the Riemannian geometry of both symplectic and contact manifolds, with particular emphasis on the latter The text is carefully presented Topics unfold systematically from Chapter 1, which examines the general theory of symplectic manifolds Principal circle bundles (Chapter 2) are then discussed as a prelude to the Boothby--Wang fibration of a compact regular Author: David E Blair.
An introduction to contact geometry and topology: What it is Background, fundamental results Some applications / “practical" examples Some areas of interest / research Standing assumptions/warnings: All manifolds are smooth, oriented, compact unless otherwise speciﬁed. All functions smooth unless otherwise speciﬁed Smooth = C1 Beware sign. Buy First Steps in Differential Geometry: Riemannian, Contact, Symplectic (Undergraduate Texts in Mathematics) by Andrew McInerney (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.5/5(2).
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“In this book, contact and symplectic manifolds are studied from a Riemannian point of view. The book is an excellent reference work for researchers interested in the Riemannian geometry of contact and symplectic manifolds as well as a very good introduction to the subject, containing a lot of by: The book serves both as a general reference for mathematicians to the basic properties of symplectic and contact manifolds and as an excellent resource for graduate students and researchers in the Riemannian geometric arena.
The prerequisite for this text is a basic course in Riemannian : $ “In this book, contact and symplectic manifolds are studied from a Riemannian point of view.
The book is an excellent reference work for researchers interested in the Riemannian geometry of contact and symplectic manifolds as well as a very good introduction to the subject, containing a lot of : Birkhäuser Basel. Riemannian Geometry of Contact and Symplectic Manifolds, Second Edition provides new material in most chapters, but a particular emphasis remains on contact manifolds.
New principal topics include a complex geodesic flow and the accompanying geometry of the projectivized holomorphic tangent bundle and a complex version of the special directions. The Riemannian geometry of contact manifolds on the other hand, has been subject of a thorough study in different contexts, by many including Blair, Hamilton, Chern, etc.
and by restricting to Author: David E. Blair. A monograph that deals with the Riemannian geometry of symplectic and contact manifolds. It examines the general theory of symplectic manifolds, and discusses principal circle bundles. from Riemannian geometry of contact and symplectic manifolds book Riemannian Geometry of Contact and of the shape invariants of symplectic and contact manifolds.
We discuss the shapes as a necessary and sufficient condition for symplectic and. With all this (fairly technical) machinery developed, the author is ready to plunge into the three geometries of the book’s title: Riemannian, contact and symplectic, which are discussed in that order in the last three chapters of the book.
Riemannian geometry, the subject of chapter 5 of the text, is, of course, the one most commonly taught. Lectures on Riemannian Geometry Complex Manifolds. This is an introductory lecture note on the geometry of complex manifolds. Topics discussed are: almost complex structures and complex structures on a Riemannian manifold, symplectic manifolds, Kahler manifolds and Calabi-Yau manifolds,hyperkahler geometries.
Author(s): Stefan Vandoren. “In this book, contact and symplectic manifolds are studied from a Riemannian point of view. The book is an excellent reference work for researchers interested in the Riemannian geometry of contact and symplectic manifolds as well as a very good introduction to the subject, containing a lot of : $ Elie Cartan's book Geometry of Riemannian Manifolds () was one of the best introductions to his methods.
It was based on lectures given by the author at the Sorbonne in the academic year A modernized and extensively augmented edition appeared in. Contact geometry is in many ways an odd-dimensional counterpart of symplectic geometry, a structure on certain even-dimensional manifolds. Both contact and symplectic geometry are motivated by the mathematical formalism of classical mechanics, where one can consider either the even-dimensional phase space of a mechanical system or constant.
The ﬁrst three chapters are really a prelude to the core of the book, which is an exposition of the diﬀerential geometry of a symmetric, positive-deﬁnite 2-tensor(riemanniangeometry),anondegenerateone-form(contactgeometry),and aclosed,nondegeneratetwo-form(symplecticgeometry).
TherewillbenoattemptFile Size: KB. Lectures on Riemannian Geometry Complex Manifolds. This is an introductory lecture note on the geometry of complex manifolds.
Topics discussed are: almost complex structures and complex structures on a Riemannian manifold, symplectic manifolds, Kahler. Riemannian Geometry by Peter Petersen is another great book that takes a very modern approach and contains some specialized topics like convergence theory.
Geometric Analysis by Peter Li is a great book that focuses on the PDE aspects of the theory, and it is based on notes freely available on his website so you can get a taste of it. Riemannian Geometry of Contact and Symplectic Manifolds by David E.
Blair Book Resume: Book endorsed by the Sunyer Prize Committee (A. Weinstein, J. Oesterle et. al.). Read more →. Finsler geometry has Finsler manifolds as the main object of study. This is a differential manifold with a Finsler metric, that is, a Banach norm defined on each tangent space.
Riemannian manifolds are special cases of the more general Finsler manifolds. A Finsler structure on a manifold M is a function F: TM → [0, ∞) such that.
F(x, my) = m F(x, y) for all (x, y) in TM and all m≥0. Symplectic geometry is an antisymmetric version of Riemannian geometry. Riemannian geometry involves a smooth manifold equipped with a (nondegenerate, positive definite) symmetric bilinear form at every point.
The bilinear form acts like the "dot product" to. "This book provides a brief and compact introduction to the study of symplectic and contact manifolds. The material in Chapters 1 to 6 is elementary and suitable for a one-semester first-year graduate course, while the Epilogue and Appendix B deal with a more advanced topic, providing an introduction to a very active area of current research.".
Download Book Riemannian Geometry Of Contact And Symplectic Manifolds Progress In Mathematics in PDF format. You can Read Online Riemannian Geometry Of Contact And Symplectic Manifolds Progress In Mathematics here in PDF, EPUB, Mobi or Docx formats.
Buy Riemannian Geometry of Contact and Symplectic Manifolds by David E. Blair from Waterstones today! Click and Collect from your local Waterstones Book Edition: 2nd Ed. 9. Manifolds with Boundary 48 Notes on Chapter 1 51 Chapter 2.
Diﬀerential Forms 57 1. Tensors 57 2. Tensor Fields 64 3. Diﬀerential Forms 66 4. Integration on Manifolds 72 5. Stokes Theorem 75 6. Orientation and Volume Forms 78 7.
Notes on Chapter 2 80 Chapter 3. Riemannian Manifolds 87 1. Riemannian Manifolds 87 2. Aﬃne Connections File Size: 2MB.David E. Blair is the author of Riemannian Geometry of Contact and Symplectic Manifolds ( avg rating, 0 ratings, 0 reviews, published ), Contact M.