TY - JOUR UR - http://lib.ugent.be/catalog/pug01:3167338 ID - pug01:3167338 LA - eng TI - Holonomy of a class of bundles with fibre metrics PY - 2012 JO - (2012) PUBLICATIONES MATHEMATICAE-DEBRECEN SN - 0033-3883 PB - 2012 AU - Crampin, Michael UGent 801001716856 AU - Saunders, David J AB - This paper is concerned with the holonomy of a class of spaces which includes Landsberg spaces of Finsler geometry. The methods used are those of Lie groupoids and algebroids as developed by Mackenzie. We prove a version of the Ambrose-Singer Theorem for such spaces. The paper ends with a discussion of how the results may be extended to Finsler spaces and homogeneous nonlinear connections in general. ER -Download RIS file
00000nam^a2200301^i^4500 | |||
001 | 3167338 | ||
005 | 20180813142235.0 | ||
008 | 130318s2012------------------------eng-- | ||
022 | a 0033-3883 | ||
024 | a 000307148300013 2 wos | ||
024 | a 1854/LU-3167338 2 handle | ||
024 | a 10.5486/PMD.2012.5241 2 doi | ||
040 | a UGent | ||
245 | a Holonomy of a class of bundles with fibre metrics | ||
260 | c 2012 | ||
520 | a This paper is concerned with the holonomy of a class of spaces which includes Landsberg spaces of Finsler geometry. The methods used are those of Lie groupoids and algebroids as developed by Mackenzie. We prove a version of the Ambrose-Singer Theorem for such spaces. The paper ends with a discussion of how the results may be extended to Finsler spaces and homogeneous nonlinear connections in general. | ||
598 | a A1 | ||
100 | a Crampin, Michael u UGent 0 801001716856 0 979981427413 9 F6A76418-F0ED-11E1-A9DE-61C894A0A6B4 | ||
700 | a Saunders, David J | ||
650 | a Mathematics and Statistics | ||
653 | a holonomy algebroid | ||
653 | a Finsler space | ||
653 | a holonomy groupoid | ||
653 | a horizontal distribution | ||
653 | a Landsberg space | ||
653 | a nonlinear connection | ||
653 | a fibre metric | ||
773 | t PUBLICATIONES MATHEMATICAE-DEBRECEN g Publ. Math.-Debr. 2012. 81 (1-2) p.199-234 q 81:1-2<199 | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/3167338/file/3167351 z [open] y holonomy | ||
920 | a article | ||
Z30 | x WE 1 WE01 | ||
922 | a UGENT-WE |
All data below are available with an Open Data Commons Open Database License. You are free to copy, distribute and use the database; to produce works from the database; to modify, transform and build upon the database. As long as you attribute the data sets to the source, publish your adapted database with ODbL license, and keep the dataset open (don't use technical measures such as DRM to restrict access to the database).
The datasets are also available as weekly exports.