Connections on infinite dimensional manifolds with corners

J. Margalef-Roig; E. Outerelo-Domínguez; E. Padrón-Fernández

Rendiconti del Seminario Matematico della Università di Padova (1997)

  • Volume: 98, page 21-55
  • ISSN: 0041-8994

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Margalef-Roig, J., Outerelo-Domínguez, E., and Padrón-Fernández, E.. "Connections on infinite dimensional manifolds with corners." Rendiconti del Seminario Matematico della Università di Padova 98 (1997): 21-55. <http://eudml.org/doc/108444>.

@article{Margalef1997,
author = {Margalef-Roig, J., Outerelo-Domínguez, E., Padrón-Fernández, E.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {manifolds with corners; connections; manifolds modelled on Banach spaces},
language = {eng},
pages = {21-55},
publisher = {Seminario Matematico of the University of Padua},
title = {Connections on infinite dimensional manifolds with corners},
url = {http://eudml.org/doc/108444},
volume = {98},
year = {1997},
}

TY - JOUR
AU - Margalef-Roig, J.
AU - Outerelo-Domínguez, E.
AU - Padrón-Fernández, E.
TI - Connections on infinite dimensional manifolds with corners
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1997
PB - Seminario Matematico of the University of Padua
VL - 98
SP - 21
EP - 55
LA - eng
KW - manifolds with corners; connections; manifolds modelled on Banach spaces
UR - http://eudml.org/doc/108444
ER -

References

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  1. [1] S. Armas-Gomez - J. Margalef-Roig - E. Outerelo-Dominguez - E. Padron-Fernandez, Embedding of a Urysohn differentiable manifold with corners in a real Banach space, in Proceedings of the Winter School Geometry and Topology, SRNI (Csecoslovakia), Supplemento ai Rendiconti del Circolo Mat. di Palermo, Serie II, 30 (1993), pp. 143-152. Zbl0871.57018MR1246628
  2. [2] D. Husemoller, FibreBundles (Third edition), Springer-Verlag, (1994). MR1249482
  3. [3] I. Kolar - P.W. MICHOR - J. SLOVAK, Natural Operations in differential Geometry, Springer-Verlag, Berlin (1993). Zbl0782.53013MR1202431
  4. [4] S.L. Lang, Differential Manifolds, Addison Wesley (1972). Zbl0239.58001
  5. [5] P. Libermann, Paralèlismes J.Differential Geometry, 8 (1973), pp. 511-539. Zbl0284.53023MR353189
  6. [6] J. Margalef - E. OUTERELO - E. PADRON, On submersions preserving the boundary and quotient manifolds, in Proc. of International Conference on Differential Geometry and its Applications (Brno), (Csecoslovakia), World Scientific (1990), pp. 119-128. Zbl0789.58007MR1062011
  7. [7] J. Margalef - E. Outerelo, Differential Topology, Math. Studies, 173North-Holand, (1992). Zbl0760.57001MR1173211
  8. [8] J. Margalef - E. OUTERELO, Lie Group actions over manifolds with corners, Math. Japonica, 38, 3. (1993), pp. 577-582. Zbl0779.58009MR1221029
  9. [9] J. Margalef - E. OUTERELO - E. PADRON, Principal bundles on infinite dimensional manifolds with corners, Acta Math. Hungar., 72 (1-2) (1996), pp. 105-119. Zbl0865.58004MR1405221
  10. [10] P.W. Michor, Manifolds of differential mappings, Shiva Math., series 3, (1980). Zbl0433.58001MR583436
  11. [11] J. Vilms, Connections on tangents bundles, J. Differential Geometry, 1 (1967), pp. 238-243. Zbl0162.53603MR229168

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