Covariant differentiation of geometric objects

A. Szybiak

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1967

Abstract

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CONTENTSI. Introduction................................................................................................................. 5II. Covariant differentiation in fibre bundles............................................................. 7III. Connection with the Lie derivation....................................................................... 16IV. Connections in the bundles of differential objects........................................... 19V. Definition of the covariant derivative in terms of functional equations........... 23Appendix. Outline of the theory of prolongations.................................................... 291. Invariance equations of geometric object............................................................ 302. Bases of linear forms and structure equations of fibre bundles.................... 313. Prolongations............................................................................................................ 33References.................................................................................................................... 36

How to cite

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A. Szybiak. Covariant differentiation of geometric objects. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1967. <http://eudml.org/doc/268462>.

@book{A1967,
abstract = {CONTENTSI. Introduction................................................................................................................. 5II. Covariant differentiation in fibre bundles............................................................. 7III. Connection with the Lie derivation....................................................................... 16IV. Connections in the bundles of differential objects........................................... 19V. Definition of the covariant derivative in terms of functional equations........... 23Appendix. Outline of the theory of prolongations.................................................... 291. Invariance equations of geometric object............................................................ 302. Bases of linear forms and structure equations of fibre bundles.................... 313. Prolongations............................................................................................................ 33References.................................................................................................................... 36},
author = {A. Szybiak},
keywords = {differential geometry},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Covariant differentiation of geometric objects},
url = {http://eudml.org/doc/268462},
year = {1967},
}

TY - BOOK
AU - A. Szybiak
TI - Covariant differentiation of geometric objects
PY - 1967
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTSI. Introduction................................................................................................................. 5II. Covariant differentiation in fibre bundles............................................................. 7III. Connection with the Lie derivation....................................................................... 16IV. Connections in the bundles of differential objects........................................... 19V. Definition of the covariant derivative in terms of functional equations........... 23Appendix. Outline of the theory of prolongations.................................................... 291. Invariance equations of geometric object............................................................ 302. Bases of linear forms and structure equations of fibre bundles.................... 313. Prolongations............................................................................................................ 33References.................................................................................................................... 36
LA - eng
KW - differential geometry
UR - http://eudml.org/doc/268462
ER -

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