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 Poincar� 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 H�lder 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 H�lder 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 ref. del art�culo 9780817683122

Contactar al vendedor

Denunciar este art�culo

Detalles bibliogr�ficos

T�tulo: The Pullback Equation for Differential Forms
Editor: Birkh�user Boston, Birkh�user Boston Nov 2011
Fecha de publicaci�n: 2011
Idioma: Ingl�s
ISBN 10: 0817683127
ISBN 13: 9780817683122
Encuadernaci�n: Buch
Estado: Neu

Acerca de

Sinopsis

Introduction.- Part I Exterior and Differential Forms.- Exterior Forms and the Notion of Divisibility.- Differential Forms.- Dimension Reduction.- Part II Hodge-Morrey Decomposition and Poincar� Lemma.- An Identity Involving Exterior Derivatives and Gaffney Inequality.- The Hodge-Morrey Decomposition.- First-Order Elliptic Systems of Cauchy-Riemann Type.- Poincar� Lemma.- The Equation div u = f.- Part III The Case k = n.- The Case f � g > 0.- The Case Without Sign Hypothesis on f.- Part IV The Case 0 ≤ k ≤ n-1.- General Considerations on the Flow Method.- The Cases k = 0 and k = 1.- The Case k = 2.- The Case 3 ≤ k ≤ n-1.- Part V H�lder Spaces.- H�lder Continuous Functions.- Part VI Appendix.- Necessary Conditions.- An Abstract Fixed Point Theorem.- Degree Theory.- References.- Further Reading.- Notations.- Index.

Acerca del autor

Csato, Dacorogna, and Kneuss teach at Ecole Polytechnique Fédérale de Lausanne in Switzerland.

"Sobre este t�tulo" puede pertenecer a otra edici�n de este libro.

Descripci�n de la librer�a

Impressum Thorsten Retsch Buchversand Mimpf2000 Ober�lschnitz 16 95517 Emtmannsberg Deutschland Telefon: 09209-2023188 Email: mimpf2000@online.de USt-ID-Nr.: DE 235096871 Wir f�hren gebrauchte B�cher aus allen Sparten der Literatur

Ver la p�gina web de la librer�a

Informaci�n empresarial del vendedor

buchversandmimpf2000
Germany

Condiciones de venta y env�o

Condiciones de venta

Widerrufsbelehrung/ Muster-Widerrufsformular/
Allgemeine Gesch�ftsbedingungen und Kundeninformationen/ Datenschutzerkl�rung

Widerrufsrecht f�r Verbraucher
(Verbraucher ist jede nat�rliche Person, die ein Rechtsgesch�ft zu Zwecken abschlie�t, die �berwiegend weder ihrer gewerblichen noch ihrer selbstst�ndigen beruflichen T�tigkeit zugerechnet werden k�nnen.)

Widerrufsbelehrung

Widerrufsrecht
Sie haben das Recht, binnen 14 Tagen ohne Angabe von Gr�nden diesen Vertrag zu widerrufen.
Die Widerrufsfr...

M�s informaci�n

Condiciones de env�o

Soweit in der Artikelbeschreibung keine andere Frist angegeben ist, erfolgt die Lieferung der Ware innerhalb von 3-5 Werktagen nach Vertragsschluss, bei Vorauszahlung erst nach Eingang des vollst�ndigen Kaufpreises und der Versandkosten. Alle Preise inkl. MwSt.

Informaci�n detallada sobre el vendedor