4 citations · 6 across the 7 of their papers we have counts for
11 papers
The addition law attached to a stratification of a hyperelliptic Jacobian variety
Victor Z. Enolskii, Shigeki Matsutani, Yoshihiro Ônishi
This article shows explicit relation between fractional expressions of Schottky-Klein type for hyperelliptic -functions and a product of differences of the algebraic coordinates…
Neumann system and hyperelliptic al functions
Shigeki Matsutani
This article shows that the Neumann dynamical system is described well in terms of the Weierestrass hyperelliptic al functions.
UVW relations over a subvariety of a hyperelliptic Jacobian
Shigeki Matsutani
This article extends relations of Mumford's UVW-expressions to those in subvarieties in a hyperelliptic Jacobian using Baker's method.
Relations in a Loop Soliton as a Quantized Elastica
Shigeki Matsutani
In the previous article (J. Geom. Phys. {\bf 43} (2002) 146), we show the hyperelliptic solutions of a loop soliton as a study of a quantized elastica. This article gives some func…
Submanifold Dirac Operator with Torsion
Shigeki Matsutani
The submanifold Dirac operator has been studied for this decade, which is closely related to Frenet-Serret and generalized Weierstrass relations. In this article, we will give a su…
On an Algebraic Essential of Submanifold Quantum Mechanics
Shigeki Matsutani
The submanifold quantum mechanics was opened by Jensen and Koppe (Ann. Phys. {\bf 63} (1971) 586-591) and has been studied for these three decades. This article gives its more alge…