Obstructions to prescribed Q-curvature of complete conformal metrics on Rn

Abstract

We provide some obstructions to the prescribed Q-curvature problem for the complete conformal metrics on Rn with finite total Q-curvature. One of them is a Bonnet-Mayer type theorem with respect to Q-curvature. Others are related to the decay rate of the prescribed functions.

0

Turn this paper into a lesson

ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.

Discussion (0)

Sign in to join the discussion.

Loading comments…