PageHeader : Funkcialaj Ekvacioj, 45 (2002) 237-258
Title : Backlund Transformations and the Manifolds of Painleve Systems
AuthorInfo : By
AuthorInfo : Masatoshi NOUMI, Kyoichi TAKANO and Yasuhiko YAMADA
AuthorInfo : (Kobe University, Japan)
section : 1. Introduction
section : 2. Backlund transformation groups
subsection : 2.1. The case of $J=II$
subsection : 2.2. The case of $ J=III$
subsection : 2.3. The case of $ J=IV$
subsection : 2.4. The case of $J=V$
subsection : 2.5. The case of $J=VI$
subsection : 2.6. Propositions
section : 3. The manifolds $E_{J,\alpha}$
subsection : 3.1. Descriptions of $E_{J,\alpha}$
subsection : 3.2. Hamiltonians on the other charts
subsection : 3.3. A proposition
section : 4. Proof of Theorem 2
section : 5. Proof of Theorem 1?for $J=II,III,IV$ , $V$
subsection : 5.1. Extension of $\phi$ and $\phi_{w}$
subsection : 5.2. Surjectivity of $\varphi$ and $\varphi_{w}$
section : 6. Proof of Theorem 1?for $J =VI$
subsection : 6.1. Extension of $\phi$ and $\phi_{w}$
subsection : 6.2. Surjectivity of $\varphi$ and $\varphi_{w}$
section : References