2 papers
math.CA2003
Darboux-Halphen-Brioshi system with rank four
Y. Ohyama, S. Okumura
We will determine the condition that a homogeneous quadratic equation with rank four becomes the Darboux-Halphen-Brioshi system in terms of the associated non-associative algebra.
math-ph2000
The Scalar-flat Kaehler Metric and Painleve III
Shoji Okumura
We study the anti-self-dual equation for non-diagonal SU(2)-invariant metrics and give an equivalent ninth-order system. This system reduce to a sixth-order system if the metric is…