辛联络的无穷小仿射自同构
微分几何
2016-04-28 v2 辛几何
摘要
给出了这样的条件：保持辛形式的无挠联络的无穷小自同构必然是一个辛向量场。给出了一个紧辛流形的例子，它容许一个平坦辛联络以及一个非辛的无穷小自同构。
引用
@article{arxiv.1511.09258,
title = {Infinitesimal affine automorphisms of symplectic connections},
author = {Daniel J. F. Fox},
journal= {arXiv preprint arXiv:1511.09258},
year = {2016}
}
备注
4 pages. v2: details are given for a step in the proof that had not been justified