可以在$S^6$上实现的几类几乎厄米结构

IF 0.8 4区数学 Q2 MATHEMATICS

Sbornik Mathematics Pub Date : 2023-01-01 DOI:10.4213/sm9830e

Nataliya Aleksandrovna Daurtseva

引用次数: 0

摘要

对$S^6$上的同质性1的结构进行了研究。构建了semi-Kähler和quasi-Kähler结构的示例。研究了球面上齐性1的几乎厄米结构的存在性问题。参考书目:14篇。

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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Some classes of almost Hermitian structures that can be realized on $S^6$

Structures of cohomogeneity one on $S^6$ are under investigation. Examples of semi-Kähler and quasi-Kähler structures are constructed. Questions concerning the existence of almost Hermitian structures of cohomogeneity one on a round sphere are investigated. Bibliography: 14 titles.

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来源期刊

Sbornik Mathematics 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The journal has always maintained the highest scientific level in a wide area of mathematics with special attention to current developments in: Mathematical analysis Ordinary differential equations Partial differential equations Mathematical physics Geometry Algebra Functional analysis