A convenient setting for differential geometry and global analysis

Peter Michor[1]

  • [1] Universität Wien Institut für Mathematik Nordbergstrasse 15 A-1090 Wien (Austria) and

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1984)

  • Volume: 25, Issue: 1, page 63-109
  • ISSN: 1245-530X

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Michor, Peter. "A convenient setting for differential geometry and global analysis." Cahiers de Topologie et Géométrie Différentielle Catégoriques 25.1 (1984): 63-109. <http://eudml.org/doc/91343>.

@article{Michor1984,
affiliation = {Universität Wien Institut für Mathematik Nordbergstrasse 15 A-1090 Wien (Austria) and},
author = {Michor, Peter},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {structure of smooth curves; manifolds and vector bundles; parallel transport; covariant derivative; geodesics; connections; differential calculus on locally convex spaces},
language = {eng},
number = {1},
pages = {63-109},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {A convenient setting for differential geometry and global analysis},
url = {http://eudml.org/doc/91343},
volume = {25},
year = {1984},
}

TY - JOUR
AU - Michor, Peter
TI - A convenient setting for differential geometry and global analysis
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1984
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 25
IS - 1
SP - 63
EP - 109
LA - eng
KW - structure of smooth curves; manifolds and vector bundles; parallel transport; covariant derivative; geodesics; connections; differential calculus on locally convex spaces
UR - http://eudml.org/doc/91343
ER -

References

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  9. P. Michor, ( 1) Manifolds of differentiable mappings, Shiva Math. Series 3 (1980). ( 2) Manifolds of smooth map s IV, Cahiers Top. Géom. Dif.XXIII- 3 (1982). Zbl0433.58001MR583436
  10. J. Morrow, The denseness of complete Riemannian metrics, J. Diff. Geometry4 (1970), 225 - 226. Zbl0195.51302MR264555
  11. K. Nomizu& H. Ozeki, The existence of complete Riemannian metrics, Proc. A. M. S.12 (1961), 889-891. Zbl0102.16401MR133785
  12. H.H. Schafer, Topological vector spaces, Springer GTM3, 1970. 
  13. U. Seip, ( 1) A convenient setting for differential calculus, J. Pure Appl. Algebra14 (1979), 73 - 100. Zbl0397.58014MR515488
  14. ( 2) A convenient setting for smooth manifolds, Id.21 (1981), 279-305. Zbl0463.58001MR617137

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