The Pfeiffer-Lax-Sato type vector field equations and the related integrable versal deformations

D. Blackmore; A. Prykarpatski; M. Vovk; P. Pukach; Ya Prykarpatsky

doi:10.15330/ms.48.2.124-133

The Pfeiffer-Lax-Sato type vector field equations and the related integrable versal deformations

D. Blackmore
, A. Prykarpatski
, M. Vovk
, P. Pukach
, Ya Prykarpatsky

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We study versal deformatiions of the Pfeiffer-Lax-Sato type vector field equations, related with a centrally extended metrized Lie algebra as the direct sum of vector fields and differential forms on torus.

Original language	English (US)
Pages (from-to)	124-133
Number of pages	10
Journal	Matematychni Studii
Volume	48
Issue number	2
DOIs	https://doi.org/10.15330/ms.48.2.124-133
State	Published - 2017

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Casimir invariants
Central extension
Central extension
Differential forms
Lie- Poisson structures
Torus diffeomorphisms
Vector fields
Versal deformation

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10.15330/ms.48.2.124-133

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title = "The Pfeiffer-Lax-Sato type vector field equations and the related integrable versal deformations",

abstract = "We study versal deformatiions of the Pfeiffer-Lax-Sato type vector field equations, related with a centrally extended metrized Lie algebra as the direct sum of vector fields and differential forms on torus.",

keywords = "Casimir invariants, Central extension, Central extension, Differential forms, Lie- Poisson structures, Torus diffeomorphisms, Vector fields, Versal deformation",

author = "D. Blackmore and A. Prykarpatski and M. Vovk and P. Pukach and Ya Prykarpatsky",

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AU - Blackmore, D.

AU - Prykarpatski, A.

AU - Vovk, M.

AU - Pukach, P.

AU - Prykarpatsky, Ya

PY - 2017

Y1 - 2017

N2 - We study versal deformatiions of the Pfeiffer-Lax-Sato type vector field equations, related with a centrally extended metrized Lie algebra as the direct sum of vector fields and differential forms on torus.

AB - We study versal deformatiions of the Pfeiffer-Lax-Sato type vector field equations, related with a centrally extended metrized Lie algebra as the direct sum of vector fields and differential forms on torus.

KW - Casimir invariants

KW - Central extension

KW - Differential forms

KW - Lie- Poisson structures

KW - Torus diffeomorphisms

KW - Vector fields

KW - Versal deformation

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DO - 10.15330/ms.48.2.124-133

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The Pfeiffer-Lax-Sato type vector field equations and the related integrable versal deformations

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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