English

Equivalence Problem for Second Order Partially Differential Equations and Double Fibration as a Flat Model Space

Differential Geometry 2007-05-23 v1 Analysis of PDEs

Abstract

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 problem, explicit form of invariants (curvatures) are given. We also investigate a duality associated with the flat equation using double fibrations. These double fibrations are described in terms of transformation groups.

Keywords

Cite

@article{arxiv.math/0703747,
  title  = {Equivalence Problem for Second Order Partially Differential Equations and Double Fibration as a Flat Model Space},
  author = {Takahiro Noda},
  journal= {arXiv preprint arXiv:math/0703747},
  year   = {2007}
}

Comments

19pages

R2 v1 2026-07-22T17:53:12.574Z