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The geometry of the Toda equation by Calderbank, David M. J. is a scholarly article available to read on EtoBox.

What is The geometry of the Toda equation about?

I show that solutions of the SU(infinity) Toda field equation generating a fixed Einstein-Weyl space are governed by a linear equation on the Einstein-Weyl space. From this, obstructions to the existence of Toda solutions generating a given Einstein-Weyl space are found. I also give a classification of Einstein-Weyl spaces arising from the Toda equation in more than one way. This classification coincides with a class of spaces found by Ward and hence clarifies some of their properties. I end by discussing the simplest examples.

Author

Calderbank, David M. J.

Published

1999

Language

EN