Manifolds of smooth maps, II : the Lie group of diffeomorphisms of a non-compact smooth manifold
Cahiers de topologie et géométrie différentielle, Tome 21 (1980) no. 1, pp. 63-86.
@article{CTGDC_1980__21_1_63_0,
     author = {Michor, P.},
     title = {Manifolds of smooth maps, {II} : the {Lie} group of diffeomorphisms of a non-compact smooth manifold},
     journal = {Cahiers de topologie et g\'eom\'etrie diff\'erentielle},
     pages = {63--86},
     publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
     volume = {21},
     number = {1},
     year = {1980},
     mrnumber = {569118},
     zbl = {0434.58011},
     language = {en},
     url = {http://archive.numdam.org/item/CTGDC_1980__21_1_63_0/}
}
TY  - JOUR
AU  - Michor, P.
TI  - Manifolds of smooth maps, II : the Lie group of diffeomorphisms of a non-compact smooth manifold
JO  - Cahiers de topologie et géométrie différentielle
PY  - 1980
SP  - 63
EP  - 86
VL  - 21
IS  - 1
PB  - Dunod éditeur, publié avec le concours du CNRS
UR  - http://archive.numdam.org/item/CTGDC_1980__21_1_63_0/
LA  - en
ID  - CTGDC_1980__21_1_63_0
ER  - 
%0 Journal Article
%A Michor, P.
%T Manifolds of smooth maps, II : the Lie group of diffeomorphisms of a non-compact smooth manifold
%J Cahiers de topologie et géométrie différentielle
%D 1980
%P 63-86
%V 21
%N 1
%I Dunod éditeur, publié avec le concours du CNRS
%U http://archive.numdam.org/item/CTGDC_1980__21_1_63_0/
%G en
%F CTGDC_1980__21_1_63_0
Michor, P. Manifolds of smooth maps, II : the Lie group of diffeomorphisms of a non-compact smooth manifold. Cahiers de topologie et géométrie différentielle, Tome 21 (1980) no. 1, pp. 63-86. http://archive.numdam.org/item/CTGDC_1980__21_1_63_0/

1 Ehresmann (Bastiani), A., Applications différentiables et variétés de dimension infinie, J. d'Analyse Math. 13, Jérusalem (1964), 1-114. | MR | Zbl

2 Golubitsky, M. & Guillemin, V., Stable mappings and their singularities, Springer, 1973, G.T.M. 14. | MR | Zbl

3 Gutknecht, J., Die C∞Γ-Struktur auf der Diffeomorphismen gruppe einer kompakten Mannifaltigkeit, Dissertation ETH 5879, Zürich, 1977.

4 Keller, H.H., Differential Calculus in locally convex spaces, Lecture Notes in Math. 417, Springer (1974). | MR | Zbl

5 Kobayashi, S., Transformation groups in differential Geometry, Springer, 1974, Ergebnisse 70. | MR | Zbl

6 Leslie, J.A., On a differentiable structure for the group of diffeomorphisms, Topology 6 (1967), 263-271. | MR | Zbl

7 Mather, J.N., Stability of C∞-mappings. II: Infinitesimal stability implies stability, Annals of Math. 89 (1969), 254-291. | Zbl

8 Miciior, P., Manifolds of smooth maps, Cahiers Topo. et Géo. Diff. XIX- 1 (1978), 47-78. | Numdam | MR

9 Michor, P., Manifolds of differentiable maps, Proc. CIME Conf. on differential Topology (foliations), Varenna, 1976. | Zbl

10 P Alais, R., Seminar on the Atiyah- Singer Index Theorem, Ann. Math. Studies 57 (1965). | Zbl

11 Seip, U., Kompakt erzeugte Abbildungsmannigfaltigkeiten, Preprint, T. H. Darmstadt, 1974