具有圆作用的超凯勒流形与吉本斯-霍金构造
微分几何
2010-09-29 v2 数学物理
math.MP
摘要
我们证明，一个具有等度三全纯圆作用的完备单连通超凯勒4-流形可由带有某个调和函数的吉本斯-霍金构造得到。
引用
@article{arxiv.0910.0672,
title = {Hyperk\"ahler manifolds with circle actions and the Gibbons-Hawking Ansatz},
author = {Mustafa Kalafat and Justin Sawon},
journal= {arXiv preprint arXiv:0910.0672},
year = {2010}
}
备注
This preprint is withdrawn since it is not ready for public presentation. See also the reference: R.Bielawski, Complete hyper-Kahler 4n-manifolds with a local tri-Hamiltonian Rn-action. Math. Ann. 314 (1999), no. 3, 505-528