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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  2. A. Frolicher, (1) Applications lisses entre espaces et variétés de FréchetC. R. A, S.Paris293 (1981), I, 125 - 127. Zbl0471.46028MR637107
  3. (2) Smooth structures, Lecture Notes in Math.962, Springer1982. MR682945
  4. H. Herrlich & G. Strecker, Category Theory, Allyn & Bacon1973. Zbl0265.18001MR349791
  5. A. Kock, Synthetic Differential Geometry, London Math. Soc. LectureNotes51, 1981. Zbl0466.51008MR649622
  6. A. Kriegl, (1) Eine Theorie glatter Mannigfaltigkeiren und Vektorbündel, Dissertation, Wien1980. Zbl0476.58003
  7. (2) Die richtigen Räume für Analysis im Unendlich-Dimensionalen, Monatsh. für Math, 94(1982), 109-124. Zbl0489.46035MR678046
  8. (3) Eine kartesisch abgeschlos sene Kategorie glatter Abbildungen zwischen beliebigen localkonvexen Vektorräumen, Monatsh. für Math.95 (1983), 287. 
  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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