Holonomy of a class of bundles with fibre metrics

• Autores: Mike Crampin, David J. Saunders
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 81, Fasc. 1-2, 2012, págs. 199-234
• Idioma: inglés
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• Resumen

  • 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.