＜概要＞Balanced metrics

A balanced metric is a hermitian metric on a complex $n$-dimensional manifold such that its hermitian form $\omega$ satisfies $d\omega^{n-1}=0$. The balanced metric was studied extensively by Michelsohn. In these lectures, I will focus on its basic properties and examples. In my talk, I will also explain that the balanced metric plays an important role in the study of non-K\”ahler complex geometry and to superstring theories.