%0 Journal Article %1 Kollross2003 %A Kollross, Andreas %A Podestà, Fabio %D 2003 %J manuscripta mathematica %K myown from:kollross %N 4 %P 487--503 %R 10.1007/s00229-002-0345-1 %T Homogeneous spaces with polar isotropy %U https://doi.org/10.1007/s00229-002-0345-1 %V 110 %X We consider homogeneous spaces G/K with G a simple compact Lie group, endowed with an arbitrary G-invariant Riemannian metric. We classify those spaces where the action of K on G/K is polar and show that such spaces are locally symmetric. Moreover we give a classification of pairs (G,K) with G compact semisimple such that K has polar linear isotropy representation.

@article{Kollross2003, abstract = {We consider homogeneous spaces G/K with G a simple compact Lie group, endowed with an arbitrary G-invariant Riemannian metric. We classify those spaces where the action of K on G/K is polar and show that such spaces are locally symmetric. Moreover we give a classification of pairs (G,K) with G compact semisimple such that K has polar linear isotropy representation.}, added-at = {2021-07-07T17:07:52.000+0200}, author = {Kollross, Andreas and Podest{\`a}, Fabio}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/21ac4cd8450715d5472cfcb5b80c0d889/mathematik}, day = 01, doi = {10.1007/s00229-002-0345-1}, interhash = {99a247fa0e807abbecedc8e12cbc1493}, intrahash = {1ac4cd8450715d5472cfcb5b80c0d889}, issn = {1432-1785}, journal = {manuscripta mathematica}, keywords = {myown from:kollross}, month = apr, number = 4, pages = {487--503}, timestamp = {2021-07-07T15:07:52.000+0200}, title = {Homogeneous spaces with polar isotropy}, url = {https://doi.org/10.1007/s00229-002-0345-1}, volume = 110, year = 2003 }