대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제59권4호
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  • Pages.1011-1018
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  • 2022
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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MAGNETIC GEODESICS ON THE SPACE OF KÄHLER POTENTIALS

  • Sahin, Sibel (Department of Mathematics Mimar Sinan Fine Arts University)
  • 투고 : 2021.08.15
  • 심사 : 2022.02.04
  • 발행 : 2022.07.31
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초록

In this work, magnetic geodesics over the space of Kähler potentials are studied through a variational method for a generalized Landau-Hall functional. The magnetic geodesic equation is calculated in this setting and its relation to a perturbed complex Monge-Ampère equation is given. Lastly, the magnetic geodesic equation is considered over the special case of toric Kähler potentials over toric Kähler manifolds.

키워드

과제정보

I would like to sincerely thank the anonymous referee for his/her valuable suggestions and comments. The content and the presentation of the paper have been considerably improved thanks to his/her contributions and expertise.

참고문헌

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