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Differential GeometryBundles, Connections, Metrics and Curvature$
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Clifford Henry Taubes

Print publication date: 2011

Print ISBN-13: 9780199605880

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780199605880.001.0001

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Properties of geodesics

Properties of geodesics

Chapter:
(p.96) 9 Properties of geodesics
Source:
Differential Geometry
Author(s):

Clifford Henry Taubes

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199605880.003.0009

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.

Keywords:   exponential map, Gaussian coordinates, geodesic theorem

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