The hard Lefschetz duality for locally conformally almost Kähler manifolds

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2025-02-27 DOI:10.1016/j.difgeo.2025.102239

Shuho Kanda

引用次数: 0

Abstract

We prove the hard Lefschetz duality for locally conformally almost Kähler manifolds. This is a generalization of that for almost Kähler manifolds studied by Cirici and Wilson. We generalize the Kähler identities to prove the duality. Based on the result, we introduce the hard Lefschetz condition for locally conformally symplectic manifolds. As examples, we give solvmanifolds which do not satisfy the hard Lefschetz condition.

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局部共形几乎Kähler流形的硬Lefschetz对偶性

我们证明了局部共形几乎Kähler流形的硬Lefschetz对偶性。这是Cirici和Wilson研究的几乎Kähler流形的推广。我们推广Kähler恒等式来证明对偶性。在此基础上，引入了局部共形辛流形的Lefschetz硬条件。作为例子，我们给出了不满足硬Lefschetz条件的解流形。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.