Abstract
We consider the graph of the homogeneous space K/L, where K is a compact Lie group and L is the centralizer of a torus in K. We obtain a characterization of those spaces whose graphs admit embeddings in a certain standard graph. We compute the number of arcs in such graphs. We also give a simple expression for the Euler class of the homogeneous space K/L.
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Shchetinin, A.N. On quotient spaces of compact lie groups by Tori centralizers. Math Notes 82, 257–266 (2007). https://doi.org/10.1134/S0001434607070309
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DOI: https://doi.org/10.1134/S0001434607070309