保角杀伤形式Kähler几何

IF 0.6 Q3 MATHEMATICS

Illinois Journal of Mathematics Pub Date : 2020-03-20 DOI:10.1215/00192082-10088173

P. Nagy, U. Semmelmann

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引用次数: 2

摘要

对于Kaehler流形，我们明确地确定了保角Killing型方程的中阶解。特别地，我们完成了紧致Kaehler流形上共形Killing形式的分类。我们给出了Kaehler流形上的保角Killing形式的第一个例子，它们不是来自哈密顿2-形式。这些是由Kaehler-Enstein基上的Calabi型流形支持的。在这一组中，我们还给出了密切相关的一类埃尔米特杀戮形式的结构结果和例子。

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Conformal Killing forms in Kähler geometry

For Kaehler manifolds we explicitly determine the solution to the conformal Killing form equation in middle degree. In particular, we complete the classification of conformal Killing forms on compact Kaehler manifolds. We give the first examples of conformal Killing forms on Kaehler manifolds not coming from Hamiltonian 2-forms. These are supported by Calabi type manifolds over a Kaehler Einstein base. In this set up we also give structure results and examples for the closely related class of Hermitian Killing forms.

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来源期刊

Illinois Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： IJM strives to publish high quality research papers in all areas of mainstream mathematics that are of interest to a substantial number of its readers. IJM is published by Duke University Press on behalf of the Department of Mathematics at the University of Illinois at Urbana-Champaign.