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Spinor Covariant Derivative on Degenerate Manifolds
Reports on Mathematical Physics ( IF 0.8 ) Pub Date : 2020-10-01 , DOI: 10.1016/s0034-4877(20)30074-4
Gülşah Aydin Şekercı , Abdılkadır Ceylan Çöken

In this work, we define a spinor covariant derivative for degenerate manifolds with 4-dimensions. To perform this, we have found the principal bundle by using a degenerate spin group. Then, we benefit from a covering map to establish a relationship between the local connection forms of principal bundles. After that, we define a covariant derivative on a degenerate spinor bundle which is an associated bundle.

中文翻译:

退化流形上的旋量协变导数

在这项工作中,我们为具有 4 维的退化流形定义了一个自旋协变导数。为了实现这一点,我们通过使用退化自旋群找到了主丛。然后,我们受益于覆盖图来建立主丛的局部连接形式之间的关系。之后,我们在作为关联丛的简并旋量丛上定义协变导数。
更新日期:2020-10-01
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