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Lie Equations, Vol. I

- General Theory
Af: Donald Clayton Spencer, Antonio Kumpera Engelsk Paperback

Lie Equations, Vol. I

- General Theory
Af: Donald Clayton Spencer, Antonio Kumpera Engelsk Paperback
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In this monograph the authors redevelop the theory systematically using two different approaches. A general mechanism for the deformation of structures on manifolds was developed by Donald Spencer ten years ago. A new version of that theory, based on the differential calculus in the analytic spaces of Grothendieck, was recently given by B. Malgrange. The first approach adopts Malgrange''s idea in defining jet sheaves and linear operators, although the brackets and the non-linear theory arc treated in an essentially different manner. The second approach is based on the theory of derivations, and its relationship to the first is clearly explained. The introduction describes examples of Lie equations and known integrability theorems, and gives applications of the theory to be developed in the following chapters and in the subsequent volume.

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In this monograph the authors redevelop the theory systematically using two different approaches. A general mechanism for the deformation of structures on manifolds was developed by Donald Spencer ten years ago. A new version of that theory, based on the differential calculus in the analytic spaces of Grothendieck, was recently given by B. Malgrange. The first approach adopts Malgrange''s idea in defining jet sheaves and linear operators, although the brackets and the non-linear theory arc treated in an essentially different manner. The second approach is based on the theory of derivations, and its relationship to the first is clearly explained. The introduction describes examples of Lie equations and known integrability theorems, and gives applications of the theory to be developed in the following chapters and in the subsequent volume.

Produktdetaljer
Sprog: Engelsk
Sider: 309
ISBN-13: 9780691081113
Indbinding: Paperback
Udgave:
ISBN-10: 0691081115
Kategori: Algebra
Udg. Dato: 21 okt 1972
Længde: 0mm
Bredde: 152mm
Højde: 229mm
Forlag: Princeton University Press
Oplagsdato: 21 okt 1972
Forfatter(e) Donald Clayton Spencer, Antonio Kumpera


Kategori Algebra


ISBN-13 9780691081113


Sprog Engelsk


Indbinding Paperback


Sider 309


Udgave


Længde 0mm


Bredde 152mm


Højde 229mm


Udg. Dato 21 okt 1972


Oplagsdato 21 okt 1972


Forlag Princeton University Press

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