Connection induced geometrical concepts
| Authors | |
|---|---|
| Year of publication | 2006 |
| Type | Article in Periodical |
| Magazine / Source | Suppl. di Rend. Circ. Mat. Palermo |
| MU Faculty or unit | |
| Citation | |
| 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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