Legendre magnetic flows for geodesic spheres in a complex projective space

被引：0

作者：

Shi, Qingsong ^{[1
]}

Adachi, Toshiaki ^{[2
]}

机构：

[1] Guizhou Univ, Coll Math & Stat, Guiyang 550025, Guizhou, Peoples R China

[2] Nagoya Inst Technol, Dept Math, Gokiso Cho,Showa Ku, Nagoya, Aichi 4668555, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2024年 / 100卷 / 01期

基金：

中国国家自然科学基金; 日本学术振兴会;

关键词：

Sasakian magnetic fields; Legendre curves; magnetic flows; conjugate; geodesic spheres;

D O I：

10.3792/pjaa.100.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On a geodesic sphere in a complex projective space, we have Sasakian magnetic fields induced by the almost contact metric structure. In this paper, we investigate their magnetic flows on the unit sphere subbundle of the bundle of the contact distribution over this geodesic sphere, and show that they are smoothly conjugate to each other.

引用

页码：1 / 6

页数：6

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