Publication details

Connection induced geometrical concepts

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Year of publication 2006
Type Article in Periodical
Magazine / Source Suppl. di Rend. Circ. Mat. Palermo
MU Faculty or unit

Faculty of Science

Field Theoretical physics
Keywords linear connection; covariant differential; natural operators; differential invariants
Description Geometrical concepts induced by a smooth mappings f: M -> N on 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 o differential invariants for natural operators of such smooth mappings is obtained for metric connections. A relation to geometry of Riemannian manifolds is discussed.
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