3 papers
math.DG2012
On prolongations of second-order regular overdetermined systems with two independent and one dependent variables
Takahiro Noda
The purpose of this present paper is to investigate the geometric structure of regular overdetermined systems of second order with two independent and one dependent variables from…
math.DG2012
Rank two prolongations of second-order PDE and geometric singular solutions
Takahiro Noda, Kazuhiro Shibuya
In this present paper, we study geometric structures of rank two prolongations of implicit second-order partial differential equations (PDEs) for two independent and one dependent…
math.DG2007
Equivalence Problem for Second Order Partially Differential Equations and Double Fibration as a Flat Model Space
Takahiro Noda
In this paper, we consider an equivalence problem of second order partially differential equations (PDE) and a duality of the flat differential equation. For the equivalence proble…