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@article{583641, author = {Musilová, Pavla and Musilová, Jana}, article_number = {79}, keywords = {linear connection; covariant differential; natural operators; differential invariants}, language = {eng}, issn = {0009-725X}, journal = {Suppl. di Rend. Circ. Mat. Palermo}, title = {Connection induced geometrical concepts}, volume = {Serie II}, year = {2006} }
TY - JOUR ID - 583641 AU - Musilová, Pavla - Musilová, Jana PY - 2006 TI - Connection induced geometrical concepts JF - Suppl. di Rend. Circ. Mat. Palermo VL - Serie II IS - 79 SP - 153-160 EP - 153-160 SN - 0009725X KW - linear connection KW - covariant differential KW - natural operators KW - differential invariants N2 - 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. ER -
MUSILOVÁ, Pavla and Jana MUSILOVÁ. Connection induced geometrical concepts. \textit{Suppl. di Rend. Circ. Mat. Palermo}. 2006, Serie II, No~79, p.~153-160. ISSN~0009-725X.
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