Results 311 to 314 of about 1,172,151 (314)

Homogeneous Spaces with Sections

manuscripta mathematica, 2005
We study homogeneous Riemannian manifolds all of whose geodesics can be mapped by some isometry into a fixed homogeneous, connected, totally geodesic submanifold, called section. We show that these spaces are locally symmetric if the section is two-dimensional and give non-symmetric counterexamples with higher-dimensional sections.
Kollross, A., Samiou, E., Kollross, A., Samiou, E.   +3 more
openaire   +4 more sources

Homogeneous Spaces

2003
Publisher Summary In topology, for an arbitrary topological spaceX, the autohomeomorphism group Aut(X) consisting of all homeomorphism of X onto itself corresponds to such a group. Every group is isomorphic to the autohomeomorphism group of some compact Hausdorff space.
openaire   +2 more sources