Classification of compact transformation groups on complex quadrics with codimension one orbits
Kuroki, Shintarô
Osaka J. Math., Tome 46 (2009) no. 1, p. 21-85 / Harvested from Project Euclid
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Let $G$ be a compact connected Lie group and $M$ a rational cohomology complex quadric of real dimension divisible by $4$ (where $\dim M\neq 4$). The aim of this paper is to classify pairs $(G,M)$ such that $G$ acts smoothly on $M$ with codimension one principal orbits. There exist eight such pairs up to essential isomorphism. The underlying manifold $M$ is diffeomorphic to the genuine complex quadric except one pair.
Publié le : 2009-03-15
Classification:  57S25,  57R22 
@article{1235574038,
     author = {Kuroki, Shintar\^o},
     title = {Classification of compact transformation groups on complex quadrics with codimension one orbits},
     journal = {Osaka J. Math.},
     volume = {46},
     number = {1},
     year = {2009},
     pages = { 21-85},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1235574038}
}

Kuroki, Shintarô. Classification of compact transformation groups on complex quadrics with codimension one orbits. Osaka J. Math., Tome 46 (2009) no. 1, pp.  21-85. http://gdmltest.u-ga.fr/item/1235574038/