Abstract
On compact homogeneous spaces, we investigate the Hilbert action restricted to the space of homogeneous metrics of volume one. Based on a detailed understanding of the high energy levels of this action, we assign to a compact homogeneous space a simplicial complex, whose non-contractibility is a sufficient condition for the existence of homogeneous Einstein metrics.
Citation
Christoph Böhm. "Homogeneous Einstein metrics and simplicial complexes." J. Differential Geom. 67 (1) 79 - 165, May 2004. https://doi.org/10.4310/jdg/1099587730
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