New Kähler metric on quasifuchsian space and its curvature properties

Inkang Kim, Xueyuan Wan, Genkai Zhang

Let $QF(S)$ be the quasifuchsian space of a closed surface $S$ of genus $g\ge 2$. We construct a new mapping class group invariant Kähler metric on $QF(S)$. It is an extension of…