Yamabe 流在渐近平坦流形上的性质
人工智能
2021-07-01 v2
摘要
我们研究从渐近平坦流形 出发的 Yamabe 流。我们证明,若 ,则该流在加权整体意义下收敛到渐近平坦的标量平坦度量;并证明否则该流不收敛。若标量曲率非负且可积,则在无穷远处的 ADM 质量沿该流减少了总标量曲率的极限。
引用
@article{arxiv.2102.07716,
title = {How RL Agents Behave When Their Actions Are Modified},
author = {Eric D. Langlois and Tom Everitt},
journal= {arXiv preprint arXiv:2102.07716},
year = {2021}
}
备注
10 pages (+6 appendix); 7 figures. Published in the AAAI 2021 Conference on AI. Code is available at https://github.com/edlanglois/mamdp