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  Geometry in a manifold with projective structure

Ehlers, J., & Schild, A. (1973). Geometry in a manifold with projective structure. Communications in Mathematical Physics, 32(2), 119-146. doi:10.1007/BF01645651.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5EDF-E Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5EE0-8
Genre: Journal Article

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335144.pdf (Publisher version), 3MB
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 Creators:
Ehlers, Jürgen1, Author
Schild, A., 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: Parallel transport of line elements, surface elements etc. along geodesies and more general curves in a projectively connected manifold is investigated analytically and in terms of geometrical constructions. Projective curvature is characterized geometrically by a projective analogue of the geodesic deviation equation and by a geometrical construction. The results are interpreted physically as statements about free fall world lines in space-time.

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 Dates: 1973
 Publication Status: Published in print
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 Identifiers: eDoc: 335144
DOI: 10.1007/BF01645651
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Title: Communications in Mathematical Physics
  Alternative Title : Comm. Math. Phys.
Source Genre: Journal
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Pages: - Volume / Issue: 32 (2) Sequence Number: - Start / End Page: 119 - 146 Identifier: ISSN: 1432-0916