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A convenient setting for differential geometry and global analysis II

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: 2, page 113-178
  • ISSN: 1245-530X

How to cite

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Michor, Peter. "A convenient setting for differential geometry and global analysis II." Cahiers de Topologie et Géométrie Différentielle Catégoriques 25.2 (1984): 113-178. <http://eudml.org/doc/91344>.

@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 = {geodesics; Cartesian closed categories; infinite-dimensional manifolds; vector bundles},
language = {eng},
number = {2},
pages = {113-178},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {A convenient setting for differential geometry and global analysis II},
url = {http://eudml.org/doc/91344},
volume = {25},
year = {1984},
}

TY - JOUR
AU - Michor, Peter
TI - A convenient setting for differential geometry and global analysis II
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1984
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 25
IS - 2
SP - 113
EP - 178
LA - eng
KW - geodesics; Cartesian closed categories; infinite-dimensional manifolds; vector bundles
UR - http://eudml.org/doc/91344
ER -

References

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  1. 1 J. Boman, Differentiability of a function and of its composition with functions of one variable, Math. Scand.20 (1976), 249-268. Zbl0182.38302MR237728
  2. 2 A. Frölicher, (1) Applications lisses entre espaces et variétés de Fréchet, C. R. Acad. Sc. Paris293 (1981) I, 125-127. Zbl0471.46028MR637107
  3. (2) Smooth structures, preprint 1981. 
  4. 3 H. Herrlich & G. Strecker, Category Theory, Allyn & Bacon, Boston1973. Zbl0265.18001MR349791
  5. 4 A. Kock, Synthetic Differential Geometry, London Math. Soc. LectureNotes51, 1981. Zbl0466.51008MR649622
  6. 5 A. Kriegel, (1) Eine Theorie glatter Mannigfaltigkeiten und Vektorbündel, Dissertation, Wien1980. Zbl0476.58003
  7. (2) Die richtigen Räume für Analysis im Unendlich-Dimensionalen, Monatsh. f. Math.94 (1982), 109-124. Zbl0489.46035MR678046
  8. (3) Eine kartesisch abgeschlossene Kategorie glatter Abbildungen zwischen beliebigen lokalkonvexen Vektorräumen, Idem95 (1983), 287-309. MR718065
  9. 6 P. Michor, (1) Manifolds of differentiable mappings, Shiva Math. Series 3, 1980. Zbl0433.58001MR583436
  10. (2) Manifolds of smooth maps IV, Cahiers Top. et Géom. Diff.XXII (1981). 
  11. 7 J. Morrow, The denseness of complete Riemannian metrics, J. Diff. Geom.4 (1970), 225-226. Zbl0195.51302MR264555
  12. 8 K. Nomizu& H. Ozeki, The existence of complete Riemannian metrics, Proc. AMS12 (1961), 889-891. Zbl0102.16401MR133785
  13. 9 H.H. Schäfer, Topological vector spaces, Springer GTM 3, 1970. 
  14. 10 U. Seip, (1) A convenient setting for differential calculus, J. Pure Appl. Algebra14 (1979), 73-100. Zbl0397.58014MR515488
  15. (2) A convenient setting for smooth manifolds, Id.21 (1981), 279-305. Zbl0463.58001MR617137

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