3 papers
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…
math.AP2024
Boundary value problems for 0-elliptic operators
Marco Usula
Let be a manifold with boundary, and let be a 0-elliptic operator on X which is semi-Fredholm essentially surjective with infinite-dimensional kernel. Examples include Hodg…