发表机构
University of California, Riverside（加州大学河滨分校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该论文将Roter关于平行Weyl曲率流形的经典定理推广到辛范畴，证明具有平行辛Weyl曲率的Fedosov流形必为局部对称或Weyl平坦。
AI 中文摘要
Roter在1977年的一个经典结果表明，维数至少为四的具有平行Weyl曲率的黎曼流形必定是局部对称的或共形平坦的。我们在辛范畴中建立了Roter定理：即，具有平行辛Weyl曲率的Fedosov流形必定是局部对称的或Weyl平坦的。
英文摘要
A classical 1977 result by Roter states that a Riemannian manifold of dimension at least four with parallel Weyl curvature must be locally symmetric or conformally flat. We establish Roter's theorem in the symplectic category: namely, a Fedosov manifold with parallel symplectic Weyl curvature must be locally symmetric or Weyl-flat.
Comments11 pages; minor improvements and some remarks added
