Lawson环面的极值谱性质
谱理论
2012-01-04 v4 微分几何
摘要
研究了Lawson环面的极值谱性质。Lawson环面承载着Laplace-Beltrami算子某个特征值的极值度量。本文的主要结果是，该特征值的编号可以用辅助周期Sturm-Liouville问题的基频来表示。
引用
@article{arxiv.1008.2954,
title = {Extremal spectral properties of Lawson tori},
author = {Alexei V. Penskoi},
journal= {arXiv preprint arXiv:1008.2954},
year = {2012}
}
备注
This paper is withdrawn and it will not be published since the author obtained later in the paper arXiv:1009.0285 much stronger results using theory of the Lam\'e equation