Parabolic Geometries I

Author : Andreas Cap
Publisher : American Mathematical Soc.
ISBN 13 : 0821826816
Total Pages : 643 pages
Book Rating : 4.12/5 ( download)

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Download or read book Parabolic Geometries I written by Andreas Cap and published by American Mathematical Soc.. This book was released on 2009 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses the equivalence between Cartan connections and underlying structures, including a complete proof of Kostant's version of the Bott - Borel - Weil theorem, which is used as an important tool. This book provides a description of the geometry and its basic invariants.

Author : Andreas Cap
Publisher : American Mathematical Society(RI)
ISBN 13 : 9781470413811
Total Pages : 643 pages
Book Rating : 4.17/5 ( download)

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Download or read book Parabolic Geometries written by Andreas Cap and published by American Mathematical Society(RI). This book was released on 2014-05-21 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Andreas Čap
Publisher : American Mathematical Soc.
ISBN 13 : 9780821875353
Total Pages : pages
Book Rating : 4.53/5 ( download)

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Download or read book Parabolic Geometries I written by Andreas Čap and published by American Mathematical Soc.. This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Ben Chow
Publisher : CRC Press
ISBN 13 : 1439864519
Total Pages : 216 pages
Book Rating : 4.17/5 ( download)

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Download or read book Elliptic and Parabolic Methods in Geometry written by Ben Chow and published by CRC Press. This book was released on 1996-10-15 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book documents the results of a workshop held at the Geometry Center (University of Minnesota, Minneapolis) and captures the excitement of the week.

Author : Thomas Andrew Ivey
Publisher : American Mathematical Soc.
ISBN 13 : 0821833758
Total Pages : 394 pages
Book Rating : 4.59/5 ( download)

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Download or read book Cartan for Beginners written by Thomas Andrew Ivey and published by American Mathematical Soc.. This book was released on 2003 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to Cartan's approach to differential geometry. Two central methods in Cartan's geometry are the theory of exterior differential systems and the method of moving frames. This book presents thorough and modern treatments of both subjects, including their applications to both classic and contemporary problems. It begins with the classical geometry of surfaces and basic Riemannian geometry in the language of moving frames, along with an elementary introduction to exterior differential systems. Key concepts are developed incrementally with motivating examples leading to definitions, theorems, and proofs. Once the basics of the methods are established, the authors develop applications and advanced topics.One notable application is to complex algebraic geometry, where they expand and update important results from projective differential geometry. The book features an introduction to $G$-structures and a treatment of the theory of connections. The Cartan machinery is also applied to obtain explicit solutions of PDEs via Darboux's method, the method of characteristics, and Cartan's method of equivalence. This text is suitable for a one-year graduate course in differential geometry, and parts of it can be used for a one-semester course. It has numerous exercises and examples throughout. It will also be useful to experts in areas such as PDEs and algebraic geometry who want to learn how moving frames and exterior differential systems apply to their fields.

Author : Vladimir V. Kisil
Publisher : World Scientific
ISBN 13 : 1848168586
Total Pages : 207 pages
Book Rating : 4.89/5 ( download)

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Download or read book Geometry of Möbius Transformations written by Vladimir V. Kisil and published by World Scientific. This book was released on 2012 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique exposition of rich and inspiring geometries associated with Möbius transformations of the hypercomplex plane. The presentation is self-contained and based on the structural properties of the group SL2(R). Starting from elementary facts in group theory, the author unveils surprising new results about the geometry of circles, parabolas and hyperbolas, using an approach based on the Erlangen programme of F Klein, who defined geometry as a study of invariants under a transitive group action.The treatment of elliptic, parabolic and hyperbolic Möbius transformations is provided in a uniform way. This is possible due to an appropriate usage of complex, dual and double numbers which represent all non-isomorphic commutative associative two-dimensional algebras with unit. The hypercomplex numbers are in perfect correspondence with the three types of geometries concerned. Furthermore, connections with the physics of Minkowski and Galilean space-time are considered.

Author : Vladimir V Kisil
Publisher : World Scientific
ISBN 13 : 1908977604
Total Pages : 208 pages
Book Rating : 4.01/5 ( download)

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Download or read book Geometry Of Mobius Transformations: Elliptic, Parabolic And Hyperbolic Actions Of Sl2(r) (With Dvd-rom) written by Vladimir V Kisil and published by World Scientific. This book was released on 2012-06-19 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique exposition of rich and inspiring geometries associated with Möbius transformations of the hypercomplex plane. The presentation is self-contained and based on the structural properties of the group SL2(R). Starting from elementary facts in group theory, the author unveils surprising new results about the geometry of circles, parabolas and hyperbolas, using an approach based on the Erlangen programme of F Klein, who defined geometry as a study of invariants under a transitive group action.The treatment of elliptic, parabolic and hyperbolic Möbius transformations is provided in a uniform way. This is possible due to an appropriate usage of complex, dual and double numbers which represent all non-isomorphic commutative associative two-dimensional algebras with unit. The hypercomplex numbers are in perfect correspondence with the three types of geometries concerned. Furthermore, connections with the physics of Minkowski and Galilean space-time are considered./a

Author : Frank Morley
Publisher : Courier Corporation
ISBN 13 : 0486493393
Total Pages : 292 pages
Book Rating : 4.98/5 ( download)

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Download or read book Inversive Geometry written by Frank Morley and published by Courier Corporation. This book was released on 2014-01-15 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to algebraic geometry makes particular reference to the operation of inversion. Topics include Euclidean group; inversion; quadratics; finite inversive groups; parabolic, hyperbolic, and elliptic geometries; differential geometry; and more. 1933 edition.

Author : Rolando Magnanini
Publisher : Springer Science & Business Media
ISBN 13 : 8847028418
Total Pages : 294 pages
Book Rating : 4.18/5 ( download)

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Download or read book Geometric Properties for Parabolic and Elliptic PDE's written by Rolando Magnanini and published by Springer Science & Business Media. This book was released on 2012-11-27 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an increasing number of researchers and is now a broad and well-established research area, with contributions that often come from experts from disparate areas of mathematics, such as differential and convex geometry, functional analysis, calculus of variations, mathematical physics, to name a few. This volume collects a selection of original results and informative surveys by a group of international specialists in the field, analyzes new trends and techniques and aims at promoting scientific collaboration and stimulating future developments and perspectives in this very active area of research.

Author : Daniel Henry
Publisher : Springer
ISBN 13 : 3540385282
Total Pages : 353 pages
Book Rating : 4.88/5 ( download)

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Download or read book Geometric Theory of Semilinear Parabolic Equations written by Daniel Henry and published by Springer. This book was released on 2006-11-15 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: