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math.DG2024
Moduli space theory for complete, constant Q-curvature metrics on finitely punctured spheres
Rayssa Caju, Jesse Ratzkin, Almir Silva Santos
We study constant Q-curvature metrics conformal to the round metric on the sphere with finitely many point singularities. We show that the moduli space of solutions with finitely m…
math.DG2024
Blow-up analysis of Large conformal metrics with prescribed Gaussian and geodesic curvatures
Rayssa Caju, Tiarlos Cruz, Almir Silva Santos
Consider a compact Riemannian surface with nonempty boundary and negative Euler characteristic. Given two smooth non-constant functions in and in w…