临界悬链面的 Morse 指数
微分几何
2017-05-16 v2
摘要
我们证明了在 的单位球中旋转对称的自由边界极小悬链面的 Morse 指数等于 。
引用
@article{arxiv.1609.01485,
title = {The Morse index of the critical catenoid},
author = {Graham Smith and Detang Zhou},
journal= {arXiv preprint arXiv:1609.01485},
year = {2017}
}
备注
A short proof of a useful result (c.f. also Devyver B., arXiv:1609.02315 and Tran H., arXiv:1609.01651). Final version. Improved introduction with a more thorough description of the context