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math.DG2023
Asymptotic behavior of conformal metrics with null Q-curvature
Mingxiang Li
We describe the asymptotic behavior of conformal metrics related to the GJMS operator in the null case, as the prescribed Q-curvature gradually changes. We show that i…
math.DG2023
Higher order Bol's inequality and its applications
Mingxiang Li, Juncheng Wei
In the conformal class of Euclidean space, we give some volume comparison theorems with help of Q-curvature. Meanwhile, for compact four dimensional manifolds with non-negative sca…
math.DG2023
The total Q-curvature, volume entropy and polynomial growth polyharmonic functions
Mingxiang Li
In this paper, we investigate a conformally flat and complete manifold with finite total Q-curvature. We introduce a new volume entropy, incorpo…