Homogeneous Hypercomplex Structures II - Coset Spaces of compact Lie Groups

Details Homogeneous Hypercomplex Structures II - Coset Spaces of compact Lie Groups Homogeneous Hypercomplex Structures II - Coset Spaces of compact Lie Groups

2012-04-23

arxiv.org/abs/1204.5222v1

Mathematics

Differential Geometry

46 pages

Scientific paper

We obtain a complete classification of hypercomplex manifolds, on which a
compact group of automorphisms acts transitively.
The description of the spaces as well as the proofs of our results use only
the structure theory of reductive groups, in particular the notion of "stem" of
a reduced root system, introduced in the first paper of this series.

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