$ \mathbb{C}P^2 $和椭圆函数上的广义Kähler结构

IF 1 4区数学 Q3 MATHEMATICS, APPLIED

Journal of Geometric Mechanics Pub Date : 2019-11-28 DOI:10.3934/jgm.2023009

F. Bonechi, J. Qiu, M. Tarlini

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引用次数: 0

摘要

我们在$ \mathbb{C}P^2 $上构造了一个环形广义Kähler结构，并证明了各种结构如复结构、度量等都是用一定的椭圆函数表示的。我们也用椭圆函数的积分来计算广义Kähler势。

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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Generalised Kähler structure on $ \mathbb{C}P^2 $ and elliptic functions

We construct a toric generalised Kähler structure on $ \mathbb{C}P^2 $ and show that the various structures such as the complex structure, metric etc are expressed in terms of certain elliptic functions. We also compute the generalised Kähler potential in terms of integrals of elliptic functions.

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来源期刊

Journal of Geometric Mechanics MATHEMATICS, APPLIED-PHYSICS, MATHEMATICAL

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Geometric Mechanics (JGM) aims to publish research articles devoted to geometric methods (in a broad sense) in mechanics and control theory, and intends to facilitate interaction between theory and applications. Advances in the following topics are welcomed by the journal: 1. Lagrangian and Hamiltonian mechanics 2. Symplectic and Poisson geometry and their applications to mechanics 3. Geometric and optimal control theory 4. Geometric and variational integration 5. Geometry of stochastic systems 6. Geometric methods in dynamical systems 7. Continuum mechanics 8. Classical field theory 9. Fluid mechanics 10. Infinite-dimensional dynamical systems 11. Quantum mechanics and quantum information theory 12. Applications in physics, technology, engineering and the biological sciences.