Differential Geometry Partial Differential Equations On Manifolds

Author : Robert Everist Greene
Publisher : American Mathematical Soc.
ISBN 13 : 082181494X
Total Pages : 585 pages
Book Rating : 4.49/5 ( download)

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Download or read book Differential Geometry: Partial Differential Equations on Manifolds written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 1993 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Part 1 begins with a problem list by S.T. Yau, successor to his 1980 list ( Sem

Author : Robert Everist Greene
Publisher :
ISBN 13 :
Total Pages : 560 pages
Book Rating : 4.03/5 ( download)

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Download or read book Partial Differential Equations on Manifolds written by Robert Everist Greene and published by . This book was released on 1993 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Vladimir M. Manuilov
Publisher : Springer Nature
ISBN 13 : 3030373266
Total Pages : 349 pages
Book Rating : 4.69/5 ( download)

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Download or read book Differential Equations on Manifolds and Mathematical Physics written by Vladimir M. Manuilov and published by Springer Nature. This book was released on 2022-01-21 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a volume originating from the Conference on Partial Differential Equations and Applications, which was held in Moscow in November 2018 in memory of professor Boris Sternin and attracted more than a hundred participants from eighteen countries. The conference was mainly dedicated to partial differential equations on manifolds and their applications in mathematical physics, geometry, topology, and complex analysis. The volume contains selected contributions by leading experts in these fields and presents the current state of the art in several areas of PDE. It will be of interest to researchers and graduate students specializing in partial differential equations, mathematical physics, topology, geometry, and their applications. The readers will benefit from the interplay between these various areas of mathematics.

Author : Ovidiu Calin
Publisher : Springer Science & Business Media
ISBN 13 : 0817644210
Total Pages : 278 pages
Book Rating : 4.15/5 ( download)

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Download or read book Geometric Mechanics on Riemannian Manifolds written by Ovidiu Calin and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: * A geometric approach to problems in physics, many of which cannot be solved by any other methods * Text is enriched with good examples and exercises at the end of every chapter * Fine for a course or seminar directed at grad and adv. undergrad students interested in elliptic and hyperbolic differential equations, differential geometry, calculus of variations, quantum mechanics, and physics

Author : Sorin Dragomir
Publisher : Springer Science & Business Media
ISBN 13 : 0817644830
Total Pages : 499 pages
Book Rating : 4.33/5 ( download)

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Download or read book Differential Geometry and Analysis on CR Manifolds written by Sorin Dragomir and published by Springer Science & Business Media. This book was released on 2007-06-10 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents many major differential geometric acheivements in the theory of CR manifolds for the first time in book form Explains how certain results from analysis are employed in CR geometry Many examples and explicitly worked-out proofs of main geometric results in the first section of the book making it suitable as a graduate main course or seminar textbook Provides unproved statements and comments inspiring further study

Author : Alexander Grigor'yan
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110700859
Total Pages : 337 pages
Book Rating : 4.55/5 ( download)

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Download or read book Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs written by Alexander Grigor'yan and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-01-18 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in connection with the geometry of the underlying space. Written by experts in the field, this book is a valuable tool for the advanced mathematician.

Author : Robert Hardt
Publisher : American Mathematical Soc.
ISBN 13 : 9780821804315
Total Pages : 356 pages
Book Rating : 4.16/5 ( download)

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Download or read book Nonlinear partial differential equations in differential geometry written by Robert Hardt and published by American Mathematical Soc.. This book was released on 1996 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains lecture notes of minicourses at the Regional Geometry Institute at Park City, Utah, in July 1992. Presented here are surveys of breaking developments in a number of areas of nonlinear partial differential equations in differential geometry. The authors of the articles are not only excellent expositors, but are also leaders in this field of research. All of the articles provide in-depth treatment of the topics and require few prerequisites and less background than current research articles.

Author : Agostino Prastaro
Publisher : World Scientific
ISBN 13 : 9789810214074
Total Pages : 482 pages
Book Rating : 4.73/5 ( download)

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Download or read book Geometry in Partial Differential Equations written by Agostino Prastaro and published by World Scientific. This book was released on 1994 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book emphasizes the interdisciplinary interaction in problems involving geometry and partial differential equations. It provides an attempt to follow certain threads that interconnect various approaches in the geometric applications and influence of partial differential equations. A few such approaches include: Morse-Palais-Smale theory in global variational calculus, general methods to obtain conservation laws for PDEs, structural investigation for the understanding of the meaning of quantum geometry in PDEs, extensions to super PDEs (formulated in the category of supermanifolds) of the geometrical methods just introduced for PDEs and the harmonic theory which proved to be very important especially after the appearance of the Atiyah-Singer index theorem, which provides a link between geometry and topology.

Author : Raymond O. Wells
Publisher : Springer Science & Business Media
ISBN 13 : 0387738916
Total Pages : 315 pages
Book Rating : 4.18/5 ( download)

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Download or read book Differential Analysis on Complex Manifolds written by Raymond O. Wells and published by Springer Science & Business Media. This book was released on 2007-10-31 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brand new appendix by Oscar Garcia-Prada graces this third edition of a classic work. In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Wells’s superb analysis also gives details of the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. Oscar Garcia-Prada’s appendix gives an overview of the developments in the field during the decades since the book appeared.

Author : Shing-tung Yau
Publisher : Princeton University Press
ISBN 13 : 1400881919
Total Pages : 720 pages
Book Rating : 4.18/5 ( download)

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Download or read book Seminar on Differential Geometry. (AM-102), Volume 102 written by Shing-tung Yau and published by Princeton University Press. This book was released on 2016-03-02 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers constitutes a wide-ranging survey of recent developments in differential geometry and its interactions with other fields, especially partial differential equations and mathematical physics. This area of mathematics was the subject of a special program at the Institute for Advanced Study in Princeton during the academic year 1979-1980; the papers in this volume were contributed by the speakers in the sequence of seminars organized by Shing-Tung Yau for this program. Both survey articles and articles presenting new results are included. The articles on differential geometry and partial differential equations include a general survey article by the editor on the relationship of the two fields and more specialized articles on topics including harmonic mappings, isoperimetric and Poincaré inequalities, metrics with specified curvature properties, the Monge-Arnpere equation, L2 harmonic forms and cohomology, manifolds of positive curvature, isometric embedding, and Kraumlhler manifolds and metrics. The articles on differential geometry and mathematical physics cover such topics as renormalization, instantons, gauge fields and the Yang-Mills equation, nonlinear evolution equations, incompleteness of space-times, black holes, and quantum gravity. A feature of special interest is the inclusion of a list of more than one hundred unsolved research problems compiled by the editor with comments and bibliographical information.