Normal frames for general connections

Normal frames for general connections

At any point on a manifold certain normal frames that are well adapted to general connections are identified. For manifolds with metrics the series expansion terms for the metric/frame (second order) and the connection (first order) are specified. Some special cases as well as mathematical and physi...

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Veröffentlicht in:Annalen der Physik 2010-02, Vol.19 (1-2), p.45-52
1. Verfasser: Nester, J.M.
Format: Artikel
Sprache:eng
Schlagworte:
affine connection
normal coordinates
Normal frames
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Beschreibung
Zusammenfassung:At any point on a manifold certain normal frames that are well adapted to general connections are identified. For manifolds with metrics the series expansion terms for the metric/frame (second order) and the connection (first order) are specified. Some special cases as well as mathematical and physical applications are noted. At any point on a manifold certain normal frames that are well adapted to general connections are identified. For manifolds with metrics the series expansion terms for the metric/frame (second order) and the connection (first order) are specified. Some special cases as well as mathematical and physical applications are noted.
ISSN:0003-3804
1521-3889
DOI:10.1002/andp.200910373