A parabolic flow of balanced metrics

Parabolic complex Monge-Ampère equations on compact Hermitian manifolds

“…Motivated by unified string theories and mirror symmetry, there has recently been interest in extending the theory of such equations beyond the Kähler setting to more general classes of Hermitian manifolds [27,24,17,10,12,13,14,19,20,26,2,11].…”