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  Path structures on manifolds

Ehlers, J., & Köhler, E. (1977). Path structures on manifolds. Journal of Mathematical Physics, 18(10), 2014-2018. doi:10.1063/1.523175.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5EBC-B Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5EBD-9
Genre: Journal Article

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335121.pdf (Publisher version), 454KB
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 Creators:
Ehlers, Jürgen1, Author
Köhler, Egon1, Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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 Abstract: We study collections of paths—i.e., unparametrized curves—on a manifold such that through every point and every direction at that point there passes exactly one path. Among such path structures we characterize, analytically and in terms of symmetries, those which consist of geodesics of a linear connection. Examples of nongeodesic path structures are given, and some of the results are interpreted physically. Journal of Mathematical Physics is copyrighted by The American Institute of Physics.

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 Dates: 1977-10
 Publication Status: Published in print
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 Identifiers: eDoc: 335121
DOI: 10.1063/1.523175
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Title: Journal of Mathematical Physics
  Alternative Title : J. Math. Phys.
Source Genre: Journal
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Pages: - Volume / Issue: 18 (10) Sequence Number: - Start / End Page: 2014 - 2018 Identifier: ISSN: 123