Horocyclic Circles and Tubes around Complex Hypersurfaces in a Complex Hyperbolic Space

Q3 Mathematics

WSEAS Transactions on Mathematics Pub Date : 2023-12-07 DOI:10.37394/23206.2023.22.102

Yusei Aoki, Toshiaki Adachi

引用次数: 0

Abstract

We show that every horocyclic circle of nonzero complex torsion on a complex hyperbolic space is expressed by a trajectory for a Sasakian magnetic field on some tube around totally geodesic complex hypersurface and that such an expression is unique up to the action of isometries on the complex hyperbolic space.

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复杂双曲空间中围绕复杂超曲面的环形圈和环形管

我们证明了复双曲空间上的非零复扭转的每一个全测地复超曲面上的管上的sasaki磁场的轨迹是唯一的，并且这种表达式在复双曲空间上的等距作用下是唯一的。

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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来源期刊

WSEAS Transactions on Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.