• 제목/요약/키워드: Killing vector fields

검색결과 11건 처리시간 0.014초

ASSOCIATED CURVES OF CHARGED PARTICLE MOVING WITH THE EFFECT OF MAGNETIC FIELD

  • Muhammed Talat Sariaydin;Aziz Yazla
    • 대한수학회논문집
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    • 제38권2호
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    • pp.589-598
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    • 2023
  • Magnetic curves are the trajectories of charged particals which are influenced by magnetic fields and they satisfy the Lorentz equation. It is important to find relationships between magnetic curves and other special curves. This paper is a study of magnetic curves and this kind of relationships. We give the relationship between β-magnetic curves and Mannheim, Bertrand, involute-evolute curves and we give some geometric properties about them. Then, we study this subject for γ-magnetic curves. Finally, we give an evaluation of what we did.