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http://dx.doi.org/10.4134/BKMS.b210603

MAGNETIC GEODESICS ON THE SPACE OF KÄHLER POTENTIALS

Sahin, Sibel (Department of Mathematics Mimar Sinan Fine Arts University)

Publication Information

Bulletin of the Korean Mathematical Society / v.59, no.4, 2022 , pp. 1011-1018 More about this Journal

Abstract

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.

Keywords

Magnetic geodesics; Kahler potentianls;

Citations & Related Records

Reference

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