Some division theorems for vector fields

• Autorzy: Andrzej Zajtz
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Lie bracket of vector fields; bounds to flow and its prolongations

Kategorie tematyczne

• 17B66: Lie algebras of vector fields and related (super) algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1993
• Tom: 58
• Numer: 1
• Strony: 19-28

Daty

wydano

1993

otrzymano

1990-09-18

poprawiono

1992-11-12

Twórcy

autor

Andrzej Zajtz

• Jontkowa Górka 15a, 30-224 Kraków, Poland

Bibliografia

• [1] E. Nelson, Topics in Dynamics, I. Flows, Princeton University Press, Princeton 1969.
• [2] S. Sternberg, On the structure of local homeomorphisms of Euclidean n-space, II, Amer. J. Math. 80 (1958), 623-631.