Displaying similar documents to “On the volume of unit vector fields on a compact semisimple Lie group.”

Some division theorems for vector fields

Andrzej Zajtz (1993)

Annales Polonici Mathematici


This paper is concerned with the problem of divisibility of vector fields with respect to the Lie bracket [X,Y]. We deal with the local divisibility. The methods used are based on various estimates, in particular those concerning prolongations of dynamical systems. A generalization to polynomials of the adjoint operator (X) is given.