Connection induced geometrical concepts

Musilová, Pavla, and Musilová, Jana. "Connection induced geometrical concepts." Proceedings of the 25th Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 2006. [153]-160. <http://eudml.org/doc/220948>.

@inProceedings{Musilová2006,
abstract = {Summary: Geometrical concepts induced by a smooth mapping $f:M\rightarrow N$ 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.},
author = {Musilová, Pavla, Musilová, Jana},
booktitle = {Proceedings of the 25th Winter School "Geometry and Physics"},
location = {Palermo},
pages = {[153]-160},
publisher = {Circolo Matematico di Palermo},
title = {Connection induced geometrical concepts},
url = {http://eudml.org/doc/220948},
year = {2006},
}

TY - CLSWK
AU - Musilová, Pavla
AU - Musilová, Jana
TI - Connection induced geometrical concepts
T2 - Proceedings of the 25th Winter School "Geometry and Physics"
PY - 2006
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [153]
EP - 160
AB - Summary: Geometrical concepts induced by a smooth mapping $f:M\rightarrow N$ 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.
UR - http://eudml.org/doc/220948
ER -