Title: | Natural lifting of connections to vertical bundles (English) |

Author: | Kolář, Ivan |

Author: | Mikulski, Włodzimierz M. |

Language: | English |

Journal: | Proceedings of the 19th Winter School "Geometry and Physics" |

Volume: | |

Issue: | 1999 |

Year: | |

Pages: | 97-102 |

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Category: | math |

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Summary: | One studies the flow prolongation of projectable vector fields with respect to a bundle functor of order $(r,s,q)$ on the category of fibered manifolds. As a result, one constructs an operator transforming connections on a fibered manifold $Y$ into connections on an arbitrary vertical bundle over $Y$. It is deduced that this operator is the only natural one of finite order and one presents a condition on vertical bundles over $Y$ under which every natural operator in question has finite order. (English) |

MSC: | 53C05 |

MSC: | 58A20 |

MSC: | 58A32 |

idZBL: | Zbl 0978.53056 |

idMR: | MR1758084 |

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Date available: | 2009-07-13T21:43:21Z |

Last updated: | 2012-09-18 |

Stable URL: | http://hdl.handle.net/10338.dmlcz/701652 |

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