The space-time cut locus
โ 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
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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.
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