KÉHLERIAN流形上切丛上的磁场

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL Reports on Mathematical Physics Pub Date : 2023-04-01 DOI:10.1016/S0034-4877(23)00022-8

Nour Elhouda Djaa, Aydin Gezer, Mustapha Djaa

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引用次数: 0

摘要

本文研究了广义磁场作为从Kählerian流形到具有Berger型变形Sasaki度规的切束的磁映射。在爱因斯坦流形和空间形式的情况下，给出了消磁矢量场的一些性质。在最后一节中，我们考虑单位切线束的情况。

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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MAGNETIC FIELDS ON THE TANGENT BUNDLE OVER KÄHLERIAN MANIFOLDS

This paper is devoted to the study of generalized magnetic vector fields as magnetic maps from a Kählerian manifold to its tangent bundle endowed with a Berger type deformed Sasaki metric. Some properties of Killing magnetic vector fields are provided specially in the case of an Einstein manifold and a space form. In the last section, we consider the case of unit tangent bundle.

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来源期刊

Reports on Mathematical Physics 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.