Spin(4) actions on $8$-dimensional manifolds (I)
Mazaud, Philippe
Illinois J. Math., Tome 44 (2000) no. 4, p. 183-211 / Harvested from Project Euclid
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We study smooth Spin(4) actions on closed, orientable $8$-dimensional manifolds, where Spin(4) is isomorphic to the group $\mathrm{SU}(2) \times \mathrm{SU}(2)$. We examine the isotropy structures that can arise, and give an equivariant classification in the case where the set of exceptional orbits, stabilized by finite-cyclic goups, is empty.
Publié le : 2000-03-15
Classification:  57S15 
@article{1255984959,
     author = {Mazaud, Philippe},
     title = {Spin(4) actions on $8$-dimensional manifolds (I)},
     journal = {Illinois J. Math.},
     volume = {44},
     number = {4},
     year = {2000},
     pages = { 183-211},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255984959}
}

Mazaud, Philippe. Spin(4) actions on $8$-dimensional manifolds (I). Illinois J. Math., Tome 44 (2000) no. 4, pp.  183-211. http://gdmltest.u-ga.fr/item/1255984959/