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The Pullback Equation for Differential Forms (Hardcover, 2012) Loot Price: R3,760
Discovery Miles 37 600
The Pullback Equation for Differential Forms (Hardcover, 2012): Gyula Csato, Bernard Dacorogna, Olivier Kneuss

The Pullback Equation for Differential Forms (Hardcover, 2012)

Gyula Csato, Bernard Dacorogna, Olivier Kneuss

Series: Progress in Nonlinear Differential Equations and Their Applications, 83

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Loot Price R3,760 Discovery Miles 37 600 | Repayment Terms: R352 pm x 12*

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An important question in geometry and analysis is to know when two "k"-forms "f "and g are equivalent through a change of variables. The problem is therefore to find a map " "so that it satisfies the pullback equation: " ""*"("g") = "f."

In more physical terms, the question under consideration can be seen as a problem of mass transportation. The problem has received considerable attention in the cases "k "= 2 and "k "= "n," but much less when 3 "k " "n"-1. The present monograph provides thefirst comprehensive study of the equation.

The work begins by recounting various properties of exterior forms and differential forms that prove useful throughout the book. From there it goes on to present the classical Hodge-Morrey decomposition and to give several versions of the Poincare lemma. The core of the book discusses the case "k "= "n," and then the case 1 "k " "n"-1 with special attention on the case "k "= 2, which is fundamental in symplectic geometry. Special emphasis is given to optimal regularity, global results and boundary data. The last part of the work discusses Holder spaces in detail; all the results presented here are essentially classical, but cannot be found in a single book. This section may serve as a reference on Holder spaces and therefore will be useful to mathematicians well beyond those who are only interested in the pullback equation.

"The Pullback Equation for Differential Forms "is a self-contained and concise monograph intended for both geometers and analysts. The book may serve as a valuable reference for researchers or a supplemental text for graduate courses or seminars."

General

Imprint: Birkhauser Boston
Country of origin: United States
Series: Progress in Nonlinear Differential Equations and Their Applications, 83
Release date: November 2011
First published: 2012
Authors: Gyula Csato • Bernard Dacorogna • Olivier Kneuss
Dimensions: 235 x 155 x 25mm (L x W x T)
Format: Hardcover
Pages: 436
Edition: 2012
ISBN-13: 978-0-8176-8312-2
Categories: Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
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LSN: 0-8176-8312-7
Barcode: 9780817683122

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