具有极小边界的流形上Yamabe流的收敛性
微分几何
2018-12-31 v2
摘要
我们研究了具有极小边界的维数大于二的紧致黎曼流形上的Yamabe流。在维数不超过七时，以及若流形为自旋流形则在任意维数下，确立了其收敛到具有常数量曲率和极小边界的度量。
引用
@article{arxiv.1604.06789,
title = {Convergence of the Yamabe flow on manifolds with minimal boundary},
author = {Sergio Almaraz and Liming Sun},
journal= {arXiv preprint arXiv:1604.06789},
year = {2018}
}
备注
Final version. Accepted to Annali della Scuola Normale Superiore di Pisa (Classe di Scienze). arXiv admin note: text overlap with arXiv:1206.1184"