Manifolds of smooth maps, II : the Lie group of diffeomorphisms of a non-compact smooth manifold

P. Michor

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1980)

  • Volume: 21, Issue: 1, page 63-86
  • ISSN: 1245-530X

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Michor, P.. "Manifolds of smooth maps, II : the Lie group of diffeomorphisms of a non-compact smooth manifold." Cahiers de Topologie et Géométrie Différentielle Catégoriques 21.1 (1980): 63-86. <http://eudml.org/doc/91225>.

@article{Michor1980,
author = {Michor, P.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {space of diffeomorphisms of a locally compact smooth manifold; infinite dimensional Lie group},
language = {eng},
number = {1},
pages = {63-86},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Manifolds of smooth maps, II : the Lie group of diffeomorphisms of a non-compact smooth manifold},
url = {http://eudml.org/doc/91225},
volume = {21},
year = {1980},
}

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 Catégoriques
PY - 1980
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 21
IS - 1
SP - 63
EP - 86
LA - eng
KW - space of diffeomorphisms of a locally compact smooth manifold; infinite dimensional Lie group
UR - http://eudml.org/doc/91225
ER -

References

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  1. 1 Ehresmann (Bastiani), A., Applications différentiables et variétés de dimension infinie, J. d'Analyse Math.13, Jérusalem (1964), 1-114. Zbl0196.44103MR177277
  2. 2 Golubitsky, M. & Guillemin, V., Stable mappings and their singularities, Springer, 1973, G.T.M. 14. Zbl0294.58004MR341518
  3. 3 Gutknecht, J., Die C∞Γ-Struktur auf der Diffeomorphismen gruppe einer kompakten Mannifaltigkeit, Dissertation ETH 5879, Zürich, 1977. 
  4. 4 Keller, H.H., Differential Calculus in locally convex spaces, Lecture Notes in Math.417, Springer (1974). Zbl0293.58001MR440592
  5. 5 Kobayashi, S., Transformation groups in differential Geometry, Springer, 1974, Ergebnisse 70. Zbl0246.53031MR1336823
  6. 6 Leslie, J.A., On a differentiable structure for the group of diffeomorphisms, Topology6 (1967), 263-271. Zbl0147.23601MR210147
  7. 7 Mather, J.N., Stability of C∞-mappings. II: Infinitesimal stability implies stability, Annals of Math.89 (1969), 254-291. Zbl0177.26002
  8. 8 Miciior, P., Manifolds of smooth maps, Cahiers Topo. et Géo. Diff.XIX- 1 (1978), 47-78. MR496542
  9. 9 Michor, P., Manifolds of differentiable maps, Proc. CIME Conf. on differential Topology (foliations), Varenna, 1976. Zbl0461.58005
  10. 10 P Alais, R., Seminar on the Atiyah- Singer Index Theorem, Ann. Math. Studies57 (1965). 
  11. 11 Seip, U., Kompakt erzeugte Abbildungsmannigfaltigkeiten, Preprint, T. H. Darmstadt, 1974 

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