Tohoku Mathematical Journal
2001

June
SECOND SERIES VOL. 53, NO. 2

Tohoku Math. J.
53 (2001), 319-335

Title CONFLUENCE PROCESSES IN DEFINING MANIFOLDS FOR PAINLEVÉ SYSTEMS

Dedicated to Professor Norio Shimakura on his sixtieth birthday

Author Kyoichi Takano

(Received September 13, 1999, revised May 26, 2000)
Abstract. For each Painlevé system, we have a manifold, called the defining manifold, on which the system defines a uniform foliation. In this paper, we describe confluence processes in these manifolds as deformations of manifolds compatible to those in Painleve systems.

2000 Mathematics Subject Classification. Primary 34M55; Secondary 32G08, 34M45.

To the top of this page

Back to the Contents