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Differential Geometry: Partial Differential Equations on Manifolds

Differential Geometry: Partial Differential Equations on Manifolds
Author: Robert Everist Greene
Publisher: American Mathematical Soc.
Total Pages: 585
Release: 1993
Genre: Mathematics
ISBN: 082181494X

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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


Differential Geometry

Differential Geometry
Author: Robert Everist Greene
Publisher:
Total Pages: 555
Release: 1993
Genre:
ISBN: 9780821814963

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Differential Geometry and Analysis on CR Manifolds

Differential Geometry and Analysis on CR Manifolds
Author: Sorin Dragomir
Publisher: Springer Science & Business Media
Total Pages: 499
Release: 2007-06-10
Genre: Mathematics
ISBN: 0817644830

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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


Geometry in Partial Differential Equations

Geometry in Partial Differential Equations
Author: Agostino Prastaro
Publisher: World Scientific
Total Pages: 482
Release: 1994
Genre: Mathematics
ISBN: 9789810214074

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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.


Differential Equations on Manifolds and Mathematical Physics

Differential Equations on Manifolds and Mathematical Physics
Author: Vladimir M. Manuilov
Publisher: Springer Nature
Total Pages: 349
Release: 2022-01-21
Genre: Mathematics
ISBN: 3030373266

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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.


Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs

Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs
Author: Alexander Grigor'yan
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 337
Release: 2021-01-18
Genre: Mathematics
ISBN: 3110700859

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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.


Geometric Mechanics on Riemannian Manifolds

Geometric Mechanics on Riemannian Manifolds
Author: Ovidiu Calin
Publisher: Springer Science & Business Media
Total Pages: 285
Release: 2006-03-15
Genre: Mathematics
ISBN: 0817644210

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* 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