具有非负正交双截曲率的梯度 Kähler-Ricci 孤立子
微分几何
2019-06-04 v1
摘要
在本文中，我们证明了任何具有正正交双截曲率的完备收缩梯度 Kähler-Ricci 孤立子必为紧的。我们还得到了具有非负正交双截曲率的完备收缩梯度 Kähler-Ricci 孤立子的分类。
引用
@article{arxiv.1906.00415,
title = {Gradient K\"ahler-Ricci solitons with nonnegative orthogonal bisectional curvature},
author = {Shijin Zhang},
journal= {arXiv preprint arXiv:1906.00415},
year = {2019}
}
备注
to appear in Results in Math.. Xiaolong Li and Lei Ni obtained the same result in their paper "K\"hler-Ricci Shrinkers and Ancient Solutions with Nonnegative Orthogonal Bisectional Curvature" (see arXiv:1903.02615). Then even obtained more interesting results. arXiv admin note: text overlap with arXiv:1906.00412