18 citations
2 papers
nlin.SI2004★ 18 cited
Generating Function Associated with the Determinant Formula for the Solutions of the Painleve' II Equation
Nalini Joshi, Kenji Kajiwara, Marta Mazzocco
In this paper we consider a Hankel determinant formula for generic solutions of the Painleve' II equation. We show that the generating functions for the entries of the Hankel deter…
math.DG2002★ 1 cited
Curvature, diameter, and quotient manifolds
Burt Totaro
Gromov showed that there is an upper bound on the Betti numbers of all closed Riemannian n-manifolds of nonnegative sectional curvature. Grove asked whether such manifolds (if simp…