Magnetic Geodesics on the Space of K\"ahler Potentials
Abstract
In this work, magnetic geodesics over the space of K\"ahler 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-Amp\`ere equation is given. Lastly, the magnetic geodesic equation is considered over the special case of toric K\"ahler potentials over toric K\"ahler manifolds.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.