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math.DG1999
Submanifold Differential Operators in $\Cal D$-Module Theory II: Generalized Weierstrass and Frenet-Serret Relations as Dirac Equations
Shigeki Matsutani
This article is one of a series of papers. For this decade, the Dirac operator on a submanifold has been studied as a restriction of the Dirac operator in -dimensional euclidean…
math.DG1999
Submanifold Differential Operators in $\Cal D$-Module Theory I : Schrödinger Operators
Shigeki Matsutani
For this quarter of century, differential operators in a lower dimensional submanifold embedded or immersed in real -dimensional euclidean space $\EE^n$ have been studied as qua…
solv-int1999
p-adic Difference-Difference Lotka-Volterra Equation and Ultra-Discrete Limit
Shigeki Matsutani
In this article, we have studied the difference-difference Lotka-Volterra equations in p-adic number space and its p-adic valuation version. We pointed out that the structure of th…