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The space-time cut locus

โœ Scribed by John K. Beem; Paul E. Ehrlich


Book ID
104929563
Publisher
Springer US
Year
1979
Tongue
English
Weight
856 KB
Volume
11
Category
Article
ISSN
0001-7701

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๐Ÿ“œ SIMILAR VOLUMES


Short cut to space-time
โœ Al-Khalili, Jim ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Nature Publishing Group ๐ŸŒ English โš– 441 KB
The Cut Locus of an Ellipsoid
โœ W. L. F. Degen ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Springer ๐ŸŒ English โš– 176 KB
Cut locus of the B-spheres
โœ Cรฉlestin Rakotoniaina ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Springer ๐ŸŒ English โš– 615 KB

This paper studies the geometry of a family of homogeneous riemannian metrics on odd-dimensional spheres. or some metrics of the family the cut locus coincides with the first conjugate locus. For the others these two sets do not coincide but intersect.

Cut locus structures on graphs
โœ Jin-ichi Itoh; Costin Vรฎlcu ๐Ÿ“‚ Article ๐Ÿ“… 2012 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 582 KB
Coherent states and geodesics: cut locus
โœ S Berceanu ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 994 KB

The intimate relationship between coherent states and geodesics is pointed out. For homogenous manifolds in which the exponential from the Lie algebra to the Lie group equals the geodesic exponential, and in particular for symmetric spaces, it is proved that the cut locus of the point 0 is equal to