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math.DG2024
Hearing Exotic Smooth Structures
Leonardo F. Cavenaghi, João Marcos do Ó, Llohann D. Sperança
This paper explores the existence and properties of \emph{basic} eigenvalues and eigenfunctions associated with the Riemannian Laplacian on closed, connected Riemannian manifolds f…
math.DG2023
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…