The hard Lefschetz duality for locally conformally almost Kähler manifolds

被引：0
|
作者：
Kanda, Shuho [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, 3-8-1 Komaba,Meguro, Tokyo 1538914, Japan
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2025年 / 99卷
关键词：
KAHLER;
D O I：
10.1016/j.difgeo.2025.102239
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the hard Lefschetz duality for locally conformally almost K & auml;hler manifolds. This is a generalization of that for almost K & auml;hler manifolds studied by Cirici and Wilson. We generalize the K & auml;hler 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. (c) 2025 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
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页数：18
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