On the second order absolute differentiation

Cabras, Antonella; Kolář, Ivan

  • Proceedings of the 18th Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page 123-133

Abstract

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In this paper the authors compare two different approaches to the second order absolute differentiation of a fibered manifold (one of them was studied by the authors [Arch. Math., Brno 33, 23-35 (1997; Zbl 0910.53014)]. The main goal is the extension of one approach to connections on functional bundles of all smooth maps between the fibers of two fibered manifolds over the same base (we refer to the book “Natural Operations in Differential Geometry” [Springer, Berlin (1993; Zbl 0782.53013)] I. Kolar, P. Michor and J. Slovak, as an introduction for some previous results used in this article).

How to cite

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Cabras, Antonella, and Kolář, Ivan. "On the second order absolute differentiation." Proceedings of the 18th Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1999. 123-133. <http://eudml.org/doc/221223>.

@inProceedings{Cabras1999,
abstract = {In this paper the authors compare two different approaches to the second order absolute differentiation of a fibered manifold (one of them was studied by the authors [Arch. Math., Brno 33, 23-35 (1997; Zbl 0910.53014)]. The main goal is the extension of one approach to connections on functional bundles of all smooth maps between the fibers of two fibered manifolds over the same base (we refer to the book “Natural Operations in Differential Geometry” [Springer, Berlin (1993; Zbl 0782.53013)] I. Kolar, P. Michor and J. Slovak, as an introduction for some previous results used in this article).},
author = {Cabras, Antonella, Kolář, Ivan},
booktitle = {Proceedings of the 18th Winter School "Geometry and Physics"},
keywords = {Winter school; Proceedings; Geometry; Physics; Srní (Czech Republic)},
location = {Palermo},
pages = {123-133},
publisher = {Circolo Matematico di Palermo},
title = {On the second order absolute differentiation},
url = {http://eudml.org/doc/221223},
year = {1999},
}

TY - CLSWK
AU - Cabras, Antonella
AU - Kolář, Ivan
TI - On the second order absolute differentiation
T2 - Proceedings of the 18th Winter School "Geometry and Physics"
PY - 1999
CY - Palermo
PB - Circolo Matematico di Palermo
SP - 123
EP - 133
AB - In this paper the authors compare two different approaches to the second order absolute differentiation of a fibered manifold (one of them was studied by the authors [Arch. Math., Brno 33, 23-35 (1997; Zbl 0910.53014)]. The main goal is the extension of one approach to connections on functional bundles of all smooth maps between the fibers of two fibered manifolds over the same base (we refer to the book “Natural Operations in Differential Geometry” [Springer, Berlin (1993; Zbl 0782.53013)] I. Kolar, P. Michor and J. Slovak, as an introduction for some previous results used in this article).
KW - Winter school; Proceedings; Geometry; Physics; Srní (Czech Republic)
UR - http://eudml.org/doc/221223
ER -

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