AHS-structures and affine holonomies

Mathematics – Differential Geometry

Scientific paper

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AMS-LaTeX, 8 pages, v2: changes in exposition; final version; to appear in Proc. Amer. Math. Soc

Scientific paper

10.1090/S0002-9939-08-09722-0

We show that a large class of non-metric, non-symplectic affine holonomies
can be realized, uniformly and without case by case considerations, by Weyl
connections associated to the natural AHS-structures on certain generalized
flag manifolds.

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