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Magnetic curves in $\mathbb{H}^3\times\mathbb{R}$

Jun-ichi Inoguchi|Zlatko Erjavec
대한수학회 (The Korean Mathematical Society)|2021.11|대한수학회지 (Journal of the KMS)|제58권 제6호|pp. 1501-1511|DOI 10.4134/JKMS.j210147

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참고문헌

키워드

Magnetic curve$\mathbb{H}^3\times\mathbb{R}$almost K{\"a}hler structure
주제분류수학

초록

In this paper we study magnetic trajectories on $\mathbb{H}^3\times\mathbb{R}$ with respect to the strictly almost K{\"a}hler structure. We find three types of magnetic curves which correspond to the almost complex structure compatible to the product metric on $\mathbb{H}^3\times\mathbb{R}.$

Abstract

In this paper we study magnetic trajectories on $\mathbb{H}^3\times\mathbb{R}$ with respect to the strictly almost K{\"a}hler structure. We find three types of magnetic curves which correspond to the almost complex structure compatible to the product metric on $\mathbb{H}^3\times\mathbb{R}.$

참고문헌 (14)

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