Kuan-Hui Lee

A gluing construction of $Z$-extremal K\"ahler metrics and new examples of Bismut Hermitian-Einstein $3$-folds

We present a gluing construction for a class of 6th order geometric non-linear PDE's on a K\"ahler manifold or orbifold, arising in the study of Bismut Hermitian Einstein complex $3$-folds, the supersymmetric ${\rm AdS}_3 \times Y_7$ and ${\rm AdS}_2 \times Y_9$ solutions of type IIB and $D=11$ supergravity models in p...