@article{oai:toyama.repo.nii.ac.jp:00014457,
 author = {Statha, Marina},
 journal = {Toyama mathematical journal},
 month = {},
 note = {The space of G-invariant metrics on a homogeneous space G/H is in one-to-one correspondence with the set of inner products on the tangent space m ≅ T₀(G/H), which are invariant under the isotropy representation. When all the isotropy summands are inequivalent to each other, then the metric is called diagonal. We will describe a special class of G-invariant metrics in the case where the isotropy representation of G/H contains some equivalent isotropy summands. Even though this problem has been considered sporadically in the bibliography, in the present article we provide a more systematic and organized description of such metrics. This will enable us to simplify the problem of  nding G-invariant Einstein metrics for homogeneous spaces. We also provide some applications., Article, Toyama mathematical journal, vol.38, 2016, Page 35-60},
 pages = {35--60},
 title = {Invariant metrics on homogeneous spaces with equivalent isotropy summands},
 volume = {38},
 year = {2016}
}