Year: 2002
Type: preprint
Abstract: An alternating sum of compositions of N vector fields is called N-commutator. In general N-commutator of N vector fields is no longer a vector field. Question: is it possible to find N=N(n), such that N-commutator of any vector fields in $Vect(n)$ is once again a vector field. Theorem: $n^2+2n-2$-commutator is a such one. A theory of N-commutators with emphasis on 5-and 6-commutators on two dimensional manifold is developed.
Source: arXiv (Cornell University)
Author: Dzhumadil'daev, A. S.
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2949576376