4 papers
Existence of Yamabe stability optimizers
João Henrique Andrade, Tobias König, Jesse Ratzkin +1
We prove the existence of stability optimizers for the Yamabe inequality on closed Riemannian manifolds of dimension at least three with positive Yamabe invariant that satisfy two…
Weighted Hardy-Sobolev type inequalities with boundary terms
João Marcos do Ã, Marcelo Furtado, Everaldo Medeiros +1
In this paper we establish a new class of weighted Hardy-Sobolev type inequalities under mild monotonicity assumptions on the weight function. As a consequence, we derive the corre…
Classification of fractional, singular Yamabe metrics on a twice punctured sphere I
João Henrique Andrade, Azahara DelaTorre, João Marcos do à +2
The Delaunay metrics form a family of conformally flat, constant fractional Q-curvature metrics on a twice-punctured sphere. They are all (after a Möbius transformation) rotationa…
An end to end gluing construction for metrics of constant Q-curvature
A. Sophie Aiken, Rayssa Caju, Jesse Ratzkin +1
We produce many new complete, constant Q-curvature metrics on finitely punctured spheres by gluing together known examples. In our construction we truncate one end of each summand…