On smooth extension theorems

Hideki OMORI

doi:10.2969/jmsj/02430405

Hideki OMORI

Author information

JOURNAL FREE ACCESS

1972 Volume 24 Issue 3 Pages 405-432

DOI https://doi.org/10.2969/jmsj/02430405

Details

Published: 1972 Received: July 24, 1971 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) J. Dieudonne, Foundations of Modern analysis, Academic Press, 1960.
2) D. Ebin and J. Marsden, Groups of diffeomorphisms and the motion of an in-compressible fluid, Ann. of Math., 92 (1970), 102-163.
3) S. Lang, Introduction to differentiable manifolds, Interscience Publ. Inc., 1962.
4) J. Leslie, On a differentiable structure of the group of diffeomorphisms, Topology, 6 (1967), 263-271.
5) J. Leslie, Some Frobenius theorem in global analysis, J. Differential Geometry, 2 (1968), 279-298.
6) H. Omori, Homomorphic images of Lie groups, J. Math. Soc. Japan, 18 (1966), 97-117.
7) H. Omori, On the group of diffeomorphisms on a compact manifold, Proc. Symp. Pure Math., vol XV, Amer. Math. Soc., 1970, 167-183.
8) H. Omori, Regularity of connections, Duiff. Geom. in honor of K. Yano, Kino-kuniya, Tokyo, 1972, 385-399.
9) H. Omori, Local structures of group of diffeomorphisms, J. Math. Soc. Japan, 24 (1972), 60-88.
10) S. Mizohata, Theory of partial differential equations, Iwanami, 1965 (In Japanese).
11) D. Montgomery and L. Zippin, Topological transformation groups, Interscience, New York, 1955.
12) K. Nomizu, Lie groups and differential geometry, Publ. Math. Soc. Japan, 1965.
13) R. S. Palais, Seminar on the Atiyah Singer index theorem, Princeton Study 57, 1965.

Right : [1] J. Dieudonne, Foundations of Modern analysis, Academic Press, 1960.
[2] D. Ebin and J. Marsden, Groups of diffeomorphisms and the motion of an in-compressible fluid, Ann. of Math., 92 (1970), 102-163.
[3] S. Lang, Introduction to differentiable manifolds, Interscience Publ. Inc., 1962.
[4] J. Leslie, On a differentiable structure of the group of diffeomorphisms, Topology, 6 (1967), 263-271.
[5] J. Leslie, Some Frobenius theorem in global analysis, J. Differential Geometry, 2 (1968), 279-298.
[6] H. Omori, Homomorphic images of Lie groups, J. Math. Soc. Japan, 18 (1966), 97-117.
[7] H. Omori, On the group of diffeomorphisms on a compact manifold, Proc. Symp. Pure Math., vol XV, Amer. Math. Soc., 1970, 167-183.
[8] H. Omori, Regularity of connections, Diff. Geom. in honor of K. Yano, Kino-kuniya, Tokyo, 1972, 385-399.
[9] H. Omori, Local structures of group of diffeomorphisms, J. Math. Soc. Japan, 24 (1972), 60-88.
[10] S. Mizohata, Theory of partial differential equations, Iwanami, 1965 (In Japanese).
[11] D. Montgomery and L. Zippin, Topological transformation groups, Interscience, New York, 1955.
[12] K. Nomizu, Lie groups and differential geometry, Publ. Math. Soc. Japan, 1965.
[13] R. S. Palais, Seminar on the Atiyah Singer index theorem, Princeton Study 57, 1965.

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

Corresponding author

Correction information

Register with J-STAGE for free!