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 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 | 20161219153927.0 | ||
| 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 0 801001716856 0 979981427413 | ||
| 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 | ||
| 852 | x WE b WE01 | ||
| 922 | a UGENT-WE | ||
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