Submanifolds of almost quaternionic skew-Hermitian manifolds

IF 0.8 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2026-10-12 DOI:10.1007/s10455-026-10061-4

Ioannis Chrysikos, Jan Gregorovič

引用次数: 0

Abstract

We investigate several classes of submanifolds of almost quaternionic skew-Hermitian manifolds \((M^{4n}, Q, \omega )\), including almost symplectic, almost complex, almost pseudo-Hermitian and almost quaternionic submanifolds. In the torsion-free case, we realize each type of submanifold considered in the theoretical part by constructing explicit examples of submanifolds of semisimple quaternionic skew-Hermitian symmetric spaces.

查看原文本刊更多论文

几乎四元数偏斜厄米流形的子流形

研究了几类几乎四元数偏厄米流形\((M^{4n}, Q, \omega )\)的子流形，包括几乎辛、几乎复、几乎伪厄米流形和几乎四元数子流形。在无扭转情况下，我们通过构造半简单四元数偏厄米对称空间的子流形的显式例子来实现理论部分所考虑的每一类子流形。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.