arXiv 0804.18382008-04math.DG

AHS-structures and affine holonomies

Andreas Cap

备注：: AMS-LaTeX, 8 pages, v2: changes in exposition; final version; to appear in Proc. Amer. Math. Soc
发表信息：: Proc. Amer. Math. Soc. 137 (2009), 1073-1080.
DOI：: 10.1090/S0002-9939-08-09722-0

英文摘要：

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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