Sobolev regularity of compactified 3-manifolds and the ADM Center of Mass (Rodrigo Avalos) to appear in: Ann. PDE [arXiv:2403.04034]
Conformal-biharmonic hypersurfaces in spheres and product spaces (Volker Branding, Stefano Montaldo, Simona Nistor, Cezar Oniciuc and Andrea Ratto) to appear in Ann. Mat. Pura Appl. [journal][arXiv:2502.02510]
Rigidity theorems for asymptotically Euclidean Q-singular spaces (Rodrigo Avalos, Paul Laurain and Nicolas Marque) Adv. Math. 490 (2026), Paper No. 110850 [journal]
On energy and its positivity in spacetimes with an expanding flat de Sitter background (Rodrigo Avalos, Eric Ling and Annachiara Piubello) Classical Quantum Gravity 43 (2026), no. 9, Paper No. 095006 [journal]
Preprints
2026
Area-constrained Willmore surfaces in Lorentzian manifolds: curvature inequalities and the Hawking quasi-local energy (Alejandro Peñuela Diaz) [arXiv:2609.09416]
Static spherically symmetric electroweak models with fermions and gravity (Marko Sobak) [arXiv:2609.08667]
The group of autoequivalences of an exact Courant algebroid as a tame Fréchet Lie group (Jan Niklas Heck) [arXiv:2608.16821]
A framework for producing harmonic maps (Volker Branding and Anna Siffert) [arXiv:2607.14857]
The energy-momentum tensor of the Standard Model with applications to energy conditions (Volker Branding, Adam Lindström and Marko Sobak) [arXiv:2605.08216]
On the conformal-biharmonic stability of the identity map of Einstein manifolds (Volker Branding, Simona Nistor and Cezar Oniciuc) [arXiv:2604.20257]
Curvature inequalities and rigidity for constant mean curvature and spacetime constant mean curvature surfaces (Alejandro Peñuela Diaz) [arXiv:2603.16707]
Spherically symmetric Dirac-Yang-Mills pairs on Riemannian manifolds (Adam Lindström and Marko Sobak) [arXiv:2602.09122]