Completely geodesic fibres of Lie groups. (Russian) Zbl 0672.53042
It is proved that the fibres of the Lie group G on the layers of the form fHg correspond uniquely to the contractive mappings of the homogeneous space G/H (by some restrictions on the embedding of the compact Lie groups H). The analogy for finite Lie groups is studied.
Reviewer: A.Fleischer
MSC:
53C30 | Differential geometry of homogeneous manifolds |
22E15 | General properties and structure of real Lie groups |