On Lie algebras of vector fields on expansive sets

Author:

KORIYAMA Akira12,MAEDA Yoshiaki3,OMORI Hideki3

Affiliation:

1. DEPARTMENT OF MATHEMATICAL SCIENCES FACULTY OF SCIENCE

2. TOKAI UNIVERSITY

3. DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE TOKYO METROPOLITAN UNIVERSITY

Publisher

Mathematical Society of Japan (JST)

Subject

General Mathematics

Reference9 articles.

1. [1] I. Amemiya, Lie algebra of vector fields and complex structure, J. Math. Soc. Japan, 27 (1975), 545-549.

2. [2] A. Koriyama, On Lie algebras of vector fields with invariant submanifolds, Nagoya Math. J., 55 (1974), 91-110.

3. [3] A. Koriyama, Y. Maeda and H. Omori, On Lie algebras of vector fields, to appear in Trans. Amer. Math. Sac.

4. [4] E. Nelson, Topics in dynamics I: Flows, Math. Note, Princeton Press, 1969.

5. [5] B. Malgrange, Ideals of differentiable functions, Oxford University Press, 1966.

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Finitely determined singularities of formal vector fields;Inventiones Mathematicae;1982-06

2. On finite determinacy of formal vector fields;Inventiones Mathematicae;1982-02

3. Local Lie Algebra Determines Base Manifold;Progress in Mathematics

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