Families of (1,2)-Symplectic M etrics on Full Flag Manifolds

Details Families of (1,2)-Symplectic M etrics on Full Flag Manifolds Families of (1,2)-Symplectic M etrics on Full Flag Manifolds

2000-10-23

arxiv.org/abs/math/0010219v1

Mathematics

Differential Geometry

22 pages, 4 figures

Scientific paper

We obtain new families of (1,2)-symplectic invariant metrics on the full
complex flag manifolds F(n). For n > 4, we characterize n-3 different
n-dimensional families of (1,2)-symplectic invariant metrics on F(n). Any of
these families corresponds to a different class of non-integrable invariant
almost complex structure on F(n).

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