The parabolic quaternionic Monge-Amp\`ere type equation on hyperK\"ahler manifolds
Abstract
We prove the long time existence and uniqueness of solution to a parabolic quaternionic Monge-Amp\`ere type equation on a compact hyperK\"ahler manifold. We also show that after normalization, the solution converges smoothly to the unique solution of the Monge-Amp\`ere equation for (n-1)-quaternionic psh functions.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.