Local structures of groups of diffeomorphisms

Hideki OMORI

doi:10.2969/jmsj/02410060

Hideki OMORI

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JOURNAL FREE ACCESS

1972 Volume 24 Issue 1 Pages 60-88

DOI https://doi.org/10.2969/jmsj/02410060

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Published: 1972 Received: March 18, 1971 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) J. Dieudonné, Foundations of Modern Analysis, Academic Press, 1960.
2) D. Ebin and B. J. Marsden, Groups of Diffeomorphisms and the motion of an incompressible fluid, Ann. of Math., 92 (1970), 102-163.
3) J. Leslie, On a differentiable structure for the group of diffeomorphisms, Topology, 6 (1967), 263-271.
4) J. Leslie, Some Frobenius theorems in global analysis, J. Differential Geometry, 2 (1968), 232-252.
5) E. Nelson, Topics in dynamics I: Flows, Math. Note, Princeton Press, 1969.
6) K. Nomizu, Lie groups and differential geometry, Publ. Math. Soc. Japan, 1956.
7) H. Omori, On the group of diffeomorphisms on a compact manifold, Proc. Sym. Pure Math. Amer. Math. Soc., 15 (1970).
8) H. Omori, On regularity connections, Differential Geometry dedicated to Prof. Yano, 1972.
9) H. Omori, Homomorphic images of Lie groups, J. Math. Soc. Japan, 18 (1966), 97-117.
10) R. S. Palais, Seminar on the Atiyah-Singer Index Theorem, Princeton Study, 57.

Right : [1] J. Dieudonné, Foundations of Modern Analysis, Academic Press, 1960.
[2] D. Ebin and B. J. Marsden, Groups of Diffeomorphisms and the motion of an incompressible fluid, Ann. of Math., 92 (1970), 102-163.
[3] J. Leslie, On a differentiable structure for the group of diffeomorphisms, Topology, 6 (1967), 263-271.
[4] J. Leslie, Some Frobenius theorems in global analysis, J. Differential Geometry, 2 (1968), 232-252.
[5] E. Nelson, Topics in dynamics I: Flows, Math. Note, Princeton Press, 1969.
[6] K. Nomizu, Lie groups and differential geometry, Publ. Math. Soc. Japan, 1956.
[7] H. Omori, On the group of diffeomorphisms on a compact manifold, Proc. Sym. Pure Math. Amer. Math. Soc., 15 (1970).
[8] H. Omori, On regularity connections, Differential Geometry dedicated to Prof. Yano, 1972.
[9] H. Omori, Homomorphic images of Lie groups, J. Math. Soc. Japan, 18 (1966), 97-117.
[10] R. S. Palais, Seminar on the Atiyah-Singer Index Theorem, Princeton Study, 57.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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