On a Property of Quasi-Kähler Manifolds

IF 0.6 4区数学 Q3 MATHEMATICS

Mathematical Notes Pub Date : 2024-07-15 DOI:10.1134/s000143462405002x

G. A. Banaru, M. B. Banaru

引用次数: 0

Abstract

We prove that if a quasi-Kähler manifold satisfies the \(\eta\)-quasi-umbilical quasi-Sasakian hypersurfaces axiom, then it is a Kähler manifold. We also prove that the quasi-Sasakian structure on an \(\eta\)-quasi-umbilical hypersurface in a quasi-Kähler manifold is either cosymplectic or homothetic to a Sasakian structure.

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关于准凯勒流形的一个性质

Abstract 我们证明，如果一个准Kähler流形满足（\eta\）-准伞状准Sasakian超曲面公理，那么它就是一个Kähler流形。我们还证明了准凯勒流形中的（\eta\）准伞状超曲面上的准萨萨结构要么是共折射的，要么是与萨萨结构同调的。

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

Mathematical Notes 数学-数学

CiteScore

0.90

自引率

16.70%

发文量

179

审稿时长

24 months

期刊介绍： Mathematical Notes is a journal that publishes research papers and review articles in modern algebra, geometry and number theory, functional analysis, logic, set and measure theory, topology, probability and stochastics, differential and noncommutative geometry, operator and group theory, asymptotic and approximation methods, mathematical finance, linear and nonlinear equations, ergodic and spectral theory, operator algebras, and other related theoretical fields. It also presents rigorous results in mathematical physics.