A new bound on the Morse index of constant mean curvature tori of revolution in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathbb{S}}^{3}}$$\end{document}

被引：0
作者：
Antonio Cañete
机构：
[1] Universidad de Sevilla,Departamento de Matemática Aplicada I, Campus de Reina Mercedes
来源：
Calculus of Variations and Partial Differential Equations | 2012年 / 45卷
关键词：
Morse index; Jacobi operator; Stability; Constant mean curvature; 53C42; 53A10;
D O I：
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学科分类号：
摘要：
In this work we give a new lower bound on the Morse index for constant mean curvature tori of revolution immersed in the three-sphere \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathbb{S}}^{3}}$$\end{document}, by computing some explicit negative eigenvalues for an operator associated to the Jacobi’s one.
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页码：467 / 479
页数：12
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