×

zbMATH — the first resource for mathematics

Totally geodesic imbeddings of homogeneous systems into their enveloping Lie groups. (English) Zbl 0563.53043
This is a continuation of the author’s study of homogeneous systems. Here he first characterizes connected analytic homogeneous systems which are geodesic and then proves that the simple ones are either symmetric or are homogeneous systems of Lie groups.
Reviewer: A.Verona

MSC:
53C30 Differential geometry of homogeneous manifolds
53C35 Differential geometry of symmetric spaces
PDF BibTeX XML Cite