The total Q-curvature, volume entropy and polynomial growth polyharmonic
functions (II)
The total Q-curvature, volume entropy and polynomial growth polyharmonic
functions (II)
This is a continuation of our previous work (Advances in Mathematics 450 (2024), Paper No. 109768). In this paper, we characterize complete metrics with finite total Q-curvature as normal metrics for all dimensional cases. Secondly, we introduce another volume entropy to provide geometric information regarding complete non-normal metrics with finite …