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Lie Equations, Vol. I

General Theory. (AM-73)

By: Antonio Kumpera,Donald Clayton Spencer

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Lie Equations, Vol. I

General Theory. (AM-73)

By: Antonio Kumpera,Donald Clayton Spencer

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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Page Count

309

Publisher

Princeton University Press

Published Date

ISBN 10

1400881730

ISBN 13

9781400881734

Lie Equations, Vol. I

General Theory. (AM-73)

By: Antonio Kumpera,Donald Clayton Spencer

Write a review Read reviews Take a Quiz Solve Book Puzzle

Lie Equations, Vol. I

General Theory. (AM-73)

By: Antonio Kumpera,Donald Clayton Spencer

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.

Average ratings

N/A

5

0%

4

0%

3

0%

2

0%

1

0%

Solve jigsaw puzzle

Age

Page Count

309

Publisher

Princeton University Press

Published Date

ISBN 10

1400881730

ISBN 13

9781400881734