Articles liés à The Pullback Equation for Differential Forms
Synopsis
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 φ so that it satisfies the pullback equation: φ*(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 the first 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 Poincaré lemma. The core of the book discusses the case k = n, and then the case 1k 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 Hölder 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 Hölder 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 serveas a valuable reference for researchers or a supplemental text for graduate courses or seminars.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
- ÉditeurBirkhauser Boston Inc
- Date d'édition2011
- ISBN 10 0817683127
- ISBN 13 9780817683122
- ReliureRelié
- Langueanglais
- Nombre de pages436
- Coordonnées du fabricantnon disponible
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The Pullback Equation for Differential Forms (Progress in Nonlinear Differential Equations and Their Applications, Vol. 83)
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Birkhauser, 2011
ISBN 10 : 0817683127
ISBN 13 : 9780817683122
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The Pullback Equation for Differential Forms
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ISBN 13 : 9780817683122
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The Pullback Equation for Differential Forms (Progress in Nonlinear Differential Equations and Their Applications, Vol. 83)
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The Pullback Equation for Differential Forms
Edité par
Birkhäuser Boston Nov 2011, 2011
ISBN 10 : 0817683127
ISBN 13 : 9780817683122
Neuf
Couverture rigide
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 phi so that it satisfies the pullback equation: phi\*(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 the first 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 Poincaré 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 Hölder 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 Hölder 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 serveas a valuable reference for researchers or a supplemental text for graduate courses or seminars. 448 pp. Englisch. N° de réf. du vendeur 9780817683122
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The Pullback Equation for Differential Forms
Edité par
Birkhäuser Boston, Birkhäuser Boston Nov 2011, 2011
ISBN 10 : 0817683127
ISBN 13 : 9780817683122
Neuf
Couverture rigide
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Buch. Etat : Neu. Neuware -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 Poincaré 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 Hölder 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 Hölder 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 serveas a valuable reference for researchers or a supplemental text for graduate courses or seminars.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 448 pp. Englisch. N° de réf. du vendeur 9780817683122
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The Pullback Equation for Differential Forms (Progress in Nonlinear Differential Equations and Their Applications, Vol. 83)
Edité par
Birkhäuser, 2011
ISBN 10 : 0817683127
ISBN 13 : 9780817683122
Ancien ou d'occasion
Couverture rigide
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The Pullback Equation for Differential Forms
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ISBN 10 : 0817683127
ISBN 13 : 9780817683122
Neuf
Couverture rigide
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 phi so that it satisfies the pullback equation: phi\*(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 the first 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 Poincaré 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 Hölder 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 Hölder 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 serveas a valuable reference for researchers or a supplemental text for graduate courses or seminars. N° de réf. du vendeur 9780817683122
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The Pullback Equation for Differential Forms
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ISBN 10 : 0817683127
ISBN 13 : 9780817683122
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