English

Geometry of quadrilateral nets: second Hamiltonian form

Exactly Solvable and Integrable Systems 2015-05-13 v1

Abstract

Discrete Darboux-Manakov-Zakharov systems possess two distinct Hamiltonian forms. In the framework of discrete-differential geometry one Hamiltonian form appears in a geometry of circular net. In this paper a geometry of second form is identified.

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Cite

@article{arxiv.0809.1695,
  title  = {Geometry of quadrilateral nets: second Hamiltonian form},
  author = {Sergey M. Sergeev},
  journal= {arXiv preprint arXiv:0809.1695},
  year   = {2015}
}

Comments

6 pages

R2 v1 2026-06-21T11:18:38.023Z