The IMA Volumes in Mathematics and its Applications

Symmetries and Overdetermined Systems of Partial Differential Equations

Editors: Eastwood, Michael, Miller, Willard (Eds.)

  • Articles in the first part are expository but all contain significant new material
  • Articles in the second part are concerned with original research
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eBook $139.00
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  • ISBN 978-0-387-73831-4
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About this book

Symmetries in various forms pervade mathematics and physics. Globally, there are the symmetries of a homogenous space induced by the action of a Lie group. Locally, there are the infinitesimal symmetries induced by differential operators, including not only those of first order but of higher order too. This three-week summer program considered the symmetries preserving various natural geometric structures. Often these structures are themselves derived from partial differential equations whilst their symmetries turn out to be contrained by overdetermined systems. This leads to further topics including separation of variables, conserved quantities, superintegrability, parabolic geometry, represantation theory, the Bernstein-Gelfand-Gelfand complex, finite element schemes, exterior differential systems and moving frames.

There are two parts to the Proceedings. The articles in the first part are expository but all contain significant new material. The articles in the second part are concerned with original research. All articles were thoroughly refereed and the range of interrelated work ensures that this will be an extremely useful collection.

These Proceedings are dedicated to the memory of Thomas P. Branson who played a leading role in the conception and organization of this Summer Program but did not live to see its realization.

 

Table of contents (29 chapters)

  • Overdetermined Systems, Conformal Differential Geometry, and the BGG Complex

    Čap, Andreas

    Pages 1-24

  • Generalized Wilczynski Invariants for Non-Linear Ordinary Differential Equations

    Doubrov, Boris

    Pages 25-40

  • Notes on Projective Differential Geometry

    Eastwood, Michael

    Pages 41-60

  • Ambient Metric Construction of CR Invariant Differential Operators

    Hirachi, Kengo

    Pages 61-75

  • Fine Structure for Second Order Superintegrable Systems

    Kalnins, Ernie G. (et al.)

    Pages 77-103

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-0-387-73831-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-0-387-73830-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-1-4419-2533-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Symmetries and Overdetermined Systems of Partial Differential Equations
Editors
  • Michael Eastwood
  • Willard Miller
Series Title
The IMA Volumes in Mathematics and its Applications
Series Volume
144
Copyright
2008
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-73831-4
DOI
10.1007/978-0-387-73831-4
Hardcover ISBN
978-0-387-73830-7
Softcover ISBN
978-1-4419-2533-6
Series ISSN
0940-6573
Edition Number
1
Number of Pages
XVI, 568
Topics