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Journal of Dynamical Systems and Geometric Theories

(Since 2002)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X
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The Journal of Dynamical Systems and Geometric Theories (JDSGT) is a world leading journal publishing high quality, rigorously peer-reviewed original research on dynamical systems and geometry, including the interactions between these two subjects and interdisciplinary research with other branches of knowledge since 2003. Topics published by the Journal include but are not limited to: Random dynamical systems Geometry and physics Dynamical systems with hyperbolic behaviour Real and complex geometry Ergodic theory Distance geometry Topological dynamics Global differential geometry Infinite-dimensional Hamiltonian systems Symplectic geometry, contact geometry The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Chief Editor’s discretion.

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Journal of Dynamical Systems and Geometric Theories
Open Access Original Articles

Differential Connections on Top Spaces

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pp. 87–92Vol. 8Issue 1June 2013DOI: 10.1080/1726037X.2010.10698580XML
Published Online:
03 Jun 2013
Article type:
Original Articles
Language:
EN
Article no.:
1726037X.2010.10698580
Pages:
87–92

Abstract

In this paper we construct differential connections such as horizontal lines and we show that: they have Lie semigroup structure with an identity element. We also show that differential connections structures can be lifted by covering top spaces, and if two connections are parallel, then their lifts are parallel.

Keywords

Covering spaceTop spaceTopological generalized group

References

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