An extremal eigenvalue problem in Kähler geometry

Vestislav Apostolov, Dmitry Jakobson, Gerasim Kokarev

We study Laplace eigenvalues ${\lambda }_k$ on Kähler manifolds as functionals on the space of Kähler metrics with cohomologous Kähler forms. We introduce a natural notion of a ${\lambda }_k$-extrem…