%0 Journal Article %1 Kollross2005 %A Kollross, Andreas %A Samiou, Evangelia %D 2005 %J manuscripta mathematica %K myown from:kollross %N 2 %P 115--123 %R 10.1007/s00229-004-0520-7 %T Homogeneous Spaces with Sections %U https://doi.org/10.1007/s00229-004-0520-7 %V 116 %X 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.

@article{Kollross2005, abstract = {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.}, added-at = {2021-07-07T17:07:52.000+0200}, author = {Kollross, Andreas and Samiou, Evangelia}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/21acc562ba64304cc1898613f7a2902be/mathematik}, day = 01, doi = {10.1007/s00229-004-0520-7}, interhash = {2e87cc7f83147079e3e520bd4e02a051}, intrahash = {1acc562ba64304cc1898613f7a2902be}, issn = {1432-1785}, journal = {manuscripta mathematica}, keywords = {myown from:kollross}, month = feb, number = 2, pages = {115--123}, timestamp = {2021-07-07T15:07:52.000+0200}, title = {Homogeneous Spaces with Sections}, url = {https://doi.org/10.1007/s00229-004-0520-7}, volume = 116, year = 2005 }