# Article

 Title: Connection induced geometrical concepts (English) Author: Musilová, Pavla Author: Musilová, Jana Language: English Journal: Proceedings of the 25th Winter School "Geometry and Physics" Volume: Issue: 2005 Year: Pages: [153]-160 . Category: math . Summary: Summary: Geometrical concepts induced by a smooth mapping $f:M\to N$ of manifolds with linear connections are introduced, especially the (higher order) covariant differentials of the mapping tangent to $f$ and the curvature of a corresponding tensor product connection. As an useful and physically meaningful consequence a basis of differential invariants for natural operators of such smooth mappings is obtained for metric connections. A relation to geometry of Riemannian manifolds is discussed. (English) MSC: 53B05 MSC: 53C05 MSC: 58A20 MSC: 58A32 idZBL: Zbl 1113.58001 idMR: MR2287134 . Date available: 2009-07-13T21:55:18Z Last updated: 2012-09-18 Stable URL: http://hdl.handle.net/10338.dmlcz/701774 .

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