扭转空间，共形变化，以及基本流形上的度量连接

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2025-08-11 DOI:10.1002/mana.70020

Johann Davidov, Oleg Mushkarov

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引用次数: 0

摘要

讨论了以下与扭转空间上的几乎复杂结构有关的问题：(1)由扭转空间的一个态射和基流形上的两个共形度量定义的两个几乎复杂结构重合时；(2)当基本黎曼流形上由两个度量连接定义的扭转空间上的atiyah - hitkin - singer或Eells-Salamon几乎复杂结构重合时。

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Twistor spaces, conformal changes, and metric connections on the base manifold

The following problems related to almost complex structures on a twistor space are discussed: (1) when two almost complex structures defined by a morphism of the twistor space and two conformal metrics on the base manifold coincide; (2) when the Atiyah–Hitchin–Singer or Eells–Salamon almost complex structures on the twistor space defined by two metric connections on the base Riemannian manifold coincide.

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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index