Minimal surfaces with low index in the three-dimensional sphere

Author:

Urbano Francisco

Abstract

In the present paper, the author gives a characterization of the Clifford torus among the minimal surfaces of the three-dimensional sphere in terms of its index.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

1. Some interior regularity theorems for minimal surfaces and an extension of Bernstein’s theorem;Almgren, F. J., Jr.;Ann. of Math. (2),1966

2. Minimal submanifolds of a sphere with second fundamental form of constant length;Chern, S. S.,1970

3. On complete minimal surfaces with finite Morse index in three-manifolds;Fischer-Colbrie, D.;Invent. Math.,1985

4. A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces;Li, Peter;Invent. Math.,1982

5. Complete minimal surfaces with index one and stable constant mean curvature surfaces;López, Francisco J.;Comment. Math. Helv.,1989

Cited by 33 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Index of embedded networks in the sphere;Journal of Functional Analysis;2024-10

2. A Gap in the Morse Index of Minimal Hypersurfaces in the Product of Spheres;The Journal of Geometric Analysis;2024-05-03

3. Index of Minimal Hypersurfaces in Real Projective Spaces;International Mathematics Research Notices;2024-01-09

4. On the index of minimal 2-tori in the 4-sphere;Journal für die reine und angewandte Mathematik (Crelles Journal);2023-10-19

5. Mean Curvature Flow and Low Energy Solutions of the Parabolic Allen-Cahn Equation on the Three-Sphere;The Journal of Geometric Analysis;2023-06-22

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3