STUDY OF STABILITY OF AN EXAMPLE OF A ACTION OF CONDIMENTION 2 / ESTUDO DA ESTABILIDADE DE UM EXEMPLO DE AÇÃO COMPACTA DE CODIMENSÃO 2

AUTOR(ES)
DATA DE PUBLICAÇÃO

2006

RESUMO

N. Saldanha in his paper Stability of compact actions of Rn of codimension one of 1994, considered an action of R(n) on a manifold of dimension n + 1 which is generated by n vector fields X1;...;Xn such that all its orbits are compact. Here he defined two kinds of stability for an orbit, local and total stability, proving that under certain conditions, these kinds of stability were equivalent. In another work, Tania Begazo and N. Saldanha proved that this equivalence fails for compact actions of the Heinsenberg group. In the present work we will try to find conditions of stability of an orbit for an action of codimension 2, using for this a very convenient examplle.

ASSUNTO(S)

foliations 2-codimension codimensao 2 folheacoes estabilidade stability

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