Bottom of the Spectrum of Complete Kähler Metrics from Finite-Mass Plurisubharmonic Exhaustions

Young-Jun Choi, Jiwon Brandon Jeong

Let $\hat{I}\text{c◯}\subset {\mathbb{C}}^n$ be a bounded domain, and let $\ddot{I}:\hat{I}\text{c◯}\to [-1,0)$ be a smooth strictly plurisubharmonic exhaustion function. We consider the logarithmic potential $g=-\lo…