关于 Yamabe 度量空间中的唯一性与可微性
微分几何
2007-05-23 v3 几何拓扑
摘要
我们证明了一般情形下（正的）Yamabe 度量在其共形类中是唯一的，并描述了一些充分条件，这些条件蕴含具有局部极大数量曲率的 Yamabe 度量是 Einstein 度量。
关键词
引用
@article{arxiv.math/0210446,
title = {On uniqueness and differentiability in the space of Yamabe metrics},
author = {Michael T. Anderson},
journal= {arXiv preprint arXiv:math/0210446},
year = {2007}
}
备注
9pp. This is a complete rewritting of the previous version on the same topic, with new title. The reasoning for (2.14) in v1 is incorrect, and this estimate remains an open problem