Spectral Properties of a Family of Minimal Tori of Revolution in Five-dimensional Sphere

Canadian mathematical bulletin

Mikhail Karpukhin¹ 

[1] Department of Geometry and Topology, Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, GSP-1, 119991, Moscow, Russia

关键词: extremal metric;    minimal surface;   

DOI  :  10.4153/CMB-2015-006-0

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

The normalized eigenvalues $Lambda_i(M,g)$ of the Laplace-Beltrami operator can be considered as functionals on the space of all Riemannian metrics $g$ on a fixed surface $M$. In recent papers several explicit examples of extremal metrics were provided. These metrics are induced by minimal immersions of surfaces in $mathbb{S}^3$ or $mathbb{S}^4$. In the present paper a family of extremal metrics induced by minimal immersions in $mathbb{S}^5$is investigated.

【 授权许可】

Unknown