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Title: Connection induced geometrical concepts (English)
Author: Musilová, Pavla
Author: Musilová, Jana
Language: English
Journal: Proceedings of the 25th Winter School "Geometry and Physics"
Issue: 2005
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
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