4 citations · 13 across the 14 of their papers we have counts for
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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…
Classification of fractional, singular Yamabe metrics on a twice punctured sphere I
João Henrique Andrade, Azahara DelaTorre, João Marcos do Ò +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) rotational…
A general nonuniqueness result for Yamabe-type problems for conformally variational Riemannian invariants
João Henrique Andrade, Jeffrey S. Case, Paolo Piccione +1
Given a conformally variational scalar Riemannian invariant , we identify a sufficient condition for a compact Riemannian manifold to admit finite regular coverings with many no…
Nonuniqueness results for constant sixth order -curvature metrics on spheres with higher dimensional singularities
João Henrique Andrade, Paolo Piccione, Juncheng Wei
We prove nonuniqueness results for constant sixth order -metrics on complete locally conformally flat -dimensional Riemannian manifolds with . More precisely, a…
Compactness of singular solutions to the sixth order GJMS equation
João Henrique Andrade, João Marcos do Ò, Jesse Ratzkin +1
We study compactness properties of the set of conformally flat singular metrics with constant, positive sixth order Q-curvature on a finitely punctured sphere. Based on a recent cl…
Constant Q-curvature metrics with Delaunay ends: the nondegenerate case
João Henrique Andrade, Rayssa Caju, João Marcos do Ó +2
We construct a one-parameter family of solutions to the positive singular Q-curvature problem on compact nondegenerate manifolds of dimension bigger than four with finitely many pu…
Compactness within the space of complete, constant Q-curvature metrics on the sphere with isolated singularities
João Henrique Andrade, João Marcos do Ó, Jesse Ratzkin
In this paper we consider the moduli space of complete, conformally flat metrics on a sphere with k punctures having constant positive Q-curvature and positive scalar curvature. Pr…