五维球面上的伪厄米二极小勒让德曲面

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics Pub Date : 2015-10-01 DOI:10.18910/57689

Jong Taek Cho, Ji-Eun Lee

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引用次数: 1

摘要

本文确定了单位5球s5上的非极小伪厄米二极小勒让德曲面。事实上，一个圆和一个4阶螺旋的乘积被实现为一个非极小伪厄米特二极小勒让德浸入S 5。此外，我们还得到了对于Tanaka-Webster连接的非正全纯截面曲率的5维Sasakian空间形式中不存在非极小伪埃米特二极小Legendre曲面。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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PSEUDOHERMITIAN BIMINIMAL LEGENDRE SURFACES IN THE 5-DIMENSIONAL SPHERE

In this paper, we determine nonminimal pseudohermitian biminimal Legendre surfaces in the unit 5-sphere S 5 . In fact, the product of a circle and a helix of order 4 is realized as a nonminimal pseudohermitian biminimal Legendre immersion into S 5 . In addition, we obtain that there exist no nonminimal pseudohermitian biminimal Legendre surfaces in a 5-dimensional Sasakian space form of non-positive constant holomorphic sectional curvature for the Tanaka–Webster connection.

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来源期刊

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.