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Properties of geodesics

Clifford Henry Taubes

in Differential Geometry: Bundles, Connections, Metrics and Curvature

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199605880
eISBN:
9780191774911
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199605880.003.0009
Subject:
Mathematics, Geometry / Topology, Mathematical Physics

This chapter examines the properties of geodesics. It discusses the maximal extension of a geodesic; the exponential map; Gaussian coordinates; and the proof of the geodesic theorem.


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