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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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