S. Matsutani

activity

19982009

most citedAbelian Functions for Trigonal Curves of Genus Three

19 citations · 27 across the 11 of their papers we have counts for

collaborators

Showing 2001Show all

3 papers · 1 filter

math-ph2001

Soliton Solutions of Kortweg-de Vries Equations and Hyperelliptic Sigma Functions

Shigeki Matsutani

Soliton Solutions of Korteweg-de Vries (KdV) were constructed for given degenerate curves $y^{2} = (x - c) P (x)^{2}$ in terms of hyperelliptic sigma functions and explicit Abelian integra…

math-ph2001

Recursion Relation of Hyperelliptic Psi-Functions of Genus Two

Shigeki Matsutani

A recursion relation of hyperelliptic psi functions of genus two, which was derived by D.G. Cantor (J. reine angew. Math. 447 (1994) 91-145), is studied. As Cantor's approach is al…

math.DG2001

Weierstrass Relation for a Submanifold $S^{k}$ in $\EE^n$ Coming from Submanifold Dirac Operator

Shigeki Matsutani

Using the submanifold quantum mechanical scheme, the restricted Dirac operator in a submanifold is defined. Then it is shown that the zero mode of the Dirac operator expresses the…

Soliton Solutions of Kortweg-de Vries Equations and Hyperelliptic Sigma Functions

Recursion Relation of Hyperelliptic Psi-Functions of Genus Two

Weierstrass Relation for a Submanifold Sk in $\EE^n$ Coming from Submanifold Dirac Operator

Weierstrass Relation for a Submanifold $S^{k}$ in $\EE^n$ Coming from Submanifold Dirac Operator