訂正日: 2006/09/29訂正理由: -訂正箇所: 引用文献情報訂正内容: 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.