LeBrun 负质量 ALE 度规的形变
微分几何
2015-06-04 v3
摘要
在本文中，我们研究了由 C. LeBrun 构造的 上复线丛全空间上的标量平坦 K"ahler 度规的形变。特别地，我们发现该度规包含在一个四维流形上此类度规的一维族中，其中形变中的复结构并非标准结构。
引用
@article{arxiv.1204.4857,
title = {Deformation of LeBrun's ALE metrics with negative mass},
author = {Nobuhiro Honda},
journal= {arXiv preprint arXiv:1204.4857},
year = {2015}
}
备注
20 pages, no figure. V2: added two references, filled a gap in the proof of Theorem 1.2. V3: corrected a wrong statement about Kuranishi family of a Hirzebruch surface stated in the last paragraph in the proof of Theorem 1.2, and fixed a relevant error in the proof. Also added a reference [24] about Kuranishi family of Hirzebruch surfaces