
TL;DR
This paper demonstrates that many non-metric, non-symplectic affine holonomies can be uniformly realized through Weyl connections linked to natural AHS-structures on specific generalized flag manifolds.
Contribution
It introduces a unified method to realize a broad class of affine holonomies via Weyl connections on generalized flag manifolds, avoiding case-by-case analysis.
Findings
Large class of affine holonomies realized
Uniform construction method established
Connections to AHS-structures clarified
Abstract
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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