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math.DG2026
Nahm Poles and 0-Instantons
Marco Usula
We study self-dual 0-connections, or 0-instantons, on asymptotically hyperbolic 4-manifolds. These connections develop a uniform singularity along the conformal infinity, and are a…
math.DG2025
Isometric Embeddings of Conformally Compact Manifolds into Hyperbolic Spaces
Marco Usula
The celebrated Nash Embedding Theorem asserts that every closed Riemannian manifold can be isometrically embedded into a sufficiently high-dimensional Euclidean space. In this pape…
math.DG2025
Biharmonic Maps Between Conformally Compact Manifolds
Marco Usula
We study biharmonic maps between conformally compact manifolds, a large class of complete manifolds with bounded geometry, asymptotically negative curvature, and smooth compactific…