共形欧几里得-施瓦兹柴尔德空间中的凯勒磁曲线

Özgür Kelekçi
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引用次数: 0

摘要

本文研究了与欧几里得-施瓦兹柴尔德空间保角等价的凯勒流形上的磁曲线。我们证明了欧几里德-施瓦兹柴尔德空间是局部保角凯勒空间,并通过应用来自其李形式的保角因子将其转化为凯勒空间。我们求解了洛伦兹方程,找到了磁曲线的解析表达式,这些表达式与所提出的凯勒流形的近乎复杂的结构相兼容。我们还计算了磁曲线的能量。
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Kähler Magnetic Curves in Conformally Euclidean Schwarzschild Space
In this paper, we study the magnetic curves on a Kähler manifold which is conformally equivalent to Euclidean Schwarzschild space. We show that Euclidean Schwarzschild space is locally conformally Kähler and transform it into a Kähler space by applying a conformal factor coming from its Lee form. We solve Lorentz equation to find analytical expressions for magnetic curves which are compatible with the almost complex structure of the proposed Kähler manifold. We also calculate the energy of magnetic curves.
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审稿时长
10 weeks
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