Lift spaces and generalized connections

Aleksander Całka

Displaying similar documents to “Lift spaces and generalized connections”

Induced Generalized Connections in Vector Subbundles

Irena Čomić (1993)

Publications de l'Institut Mathématique

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Particular $F$ -structure on vector bundle and compatible $D$ -connections.

Stoica, Emil (1999)

Novi Sad Journal of Mathematics

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Relations between linear connections on the tangent bundle and connections on the jet bundle of a fibred manifold.

Janyška, J., Modugno, M. (1996)

Archivum Mathematicum

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Some vector subbundles of a cotangent bundle of order 2

Jacek Gancarzewicz (1983)

Annales Polonici Mathematici

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A necessary and sufficient condition for the existence of a bundle in differential spaces

B. Walczak (1980)

Annales Polonici Mathematici

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Characteristic homomorphism for $(F_{1}, F_{2})$ -foliated bundles over subfoliated manifolds

José Manuel Carballés (1984)

Annales de l'institut Fourier

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In this paper a construction of characteristic classes for a subfoliation $(F_{1}, F_{2})$ is given by using Kamber-Tondeur’s techniques. For this purpose, the notion of $(F_{1}, F_{2})$ -foliated principal bundle, and the definition of its associated characteristic homomorphism, are introduced. The relation with the characteristic homomorphism of $F_{i}$ -foliated bundles, $i = 1, 2$ , the results of Kamber-Tondeur on the cohomology of $g$ - $D G$ -algebras. Finally, Goldman’s results on the restriction of foliated bundles to the leaves of...

Connections and regularity on the tangent and cotangent bundle.

Mitric, Gabriel (1997)

General Mathematics

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Connections and 1-jet fiber bundles

Pedro L. García (1972)

Rendiconti del Seminario Matematico della Università di Padova

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On transformation groups of $N$ -linear connections in the bundle of accelerations.

Purcaru, Monica (1997)

General Mathematics

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The works of Charles Ehresmann on connections: from Cartan connections to connections on fibre bundles

Charles-Michel Marle (2007)

Banach Center Publications

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Around 1923, Élie Cartan introduced affine connections on manifolds and defined the main related concepts: torsion, curvature, holonomy groups. He discussed applications of these concepts in Classical and Relativistic Mechanics; in particular he explained how parallel transport with respect to a connection can be related to the principle of inertia in Galilean Mechanics and, more generally, can be used to model the motion of a particle in a gravitational field. In subsequent papers,...

A classification theorem for connections.

Teleman, Kostake (2000)

Balkan Journal of Geometry and its Applications (BJGA)

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Semisymmetric conformal metrical $N$ -linear connections in the bundle of accelerations.

Purcaru, Monica (1999)

Balkan Journal of Geometry and its Applications (BJGA)

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