带边流形上标量平坦度量的爆破现象
微分几何
2011-08-01 v2 偏微分方程分析
摘要
设(M,g)为紧致n维带边黎曼流形。本文关注M上在g的共形类中且边界为常平均曲率超曲面的标量平坦度量集合。我们在维度n≥25的单位球上构造了该集合非紧的度量例子。这些流形具有脐点边界，但并非共形等价于单位球。
引用
@article{arxiv.1011.4235,
title = {Blow-up phenomena for scalar-flat metrics on manifolds with boundary},
author = {Sergio Almaraz},
journal= {arXiv preprint arXiv:1011.4235},
year = {2011}
}
备注
44 pages. Some typos corrected. This is a more detailed version of a paper accepted to Journal of Differential Equations