Projective-geometric aspects of homogeneous third-order Hamiltonian operators

JOURNAL OF GEOMETRY AND PHYSICS

卷:85

Article

Ferapontov, E. V.¹  Pavlov, M. V.^2,3  Vitolo, R. F.⁴ 

[1] Univ Loughborough, Dept Math Sci, Loughborough LE11 3TU, Leics, England

[2] Russian Acad Sci, Dept Math Phys, PN Lebedev Phys Inst, Moscow, Russia

[3] Moscow MV Lomonosov State Univ, Lab Geometr Methods Math Phys, Moscow 119991, Russia

[4] Univ Salento, Dept Math & Phys E De Giorgi, Lecce, Italy

关键词: Hamiltonian operator;    Jacobi identity;    Projective group;    Quadratic complex;    Monge metric;    Reciprocal transformation;   

DOI  :  10.1016/j.geomphys.2014.05.027

来源: Elsevier

【 摘 要 】

We investigate homogeneous third-order Hamiltonian operators of differential-geometric type. Based on the correspondence with quadratic line complexes, a complete list of such operators with n <= 3 components is obtained. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free