Homogeneous Einstein metrics and simplicial complexes
Böhm, Christoph
J. Differential Geom., Tome 66 (2004) no. 3, p. 79-165 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2004-05-14
Classification:  
@article{1099587730,
     author = {B\"ohm, Christoph},
     title = {Homogeneous Einstein metrics and simplicial complexes},
     journal = {J. Differential Geom.},
     volume = {66},
     number = {3},
     year = {2004},
     pages = { 79-165},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1099587730}
}

Böhm, Christoph. Homogeneous Einstein metrics and simplicial complexes. J. Differential Geom., Tome 66 (2004) no. 3, pp.  79-165. http://gdmltest.u-ga.fr/item/1099587730/