Positive Quaternionic Kaehler manifolds and symmetry rank: II

Details Positive Quaternionic Kaehler manifolds and symmetry rank: II Positive Quaternionic Kaehler manifolds and symmetry rank: II

2004-02-08

arxiv.org/abs/math/0402124v2

Mathematics

Differential Geometry

10 pages

Scientific paper

Let M be a positive quaternionic Kaehler manifold of dimension 4m. If the
isometry group Isom(M) has rank at least m/2 +3, then M is isometric to HP^m or
Gr_2(C^{m+2}). The lower bound for the rank is optimal if m is even.

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