3 citations · 5 across the 6 of their papers we have counts for
6 papers
Regularity of conformal structures on closed 3-manifolds
Rodrigo Avalos, Albachiara Cogo, Andoni Royo Abrego
It is well known in Riemannian geometry that the metric components have the best regularity in harmonic coordinates. These can be used to characterize the most regular element in t…
Conformal Green functions and Yamabe metrics of Sobolev regularity
Rodrigo Avalos, Albachiara Cogo, Andoni Royo Abrego
We provide a full resolution of the Yamabe problem on closed 3-manifolds for Riemannian metrics of Sobolev class with . This requires developing an elliptic theory…
A Bogovskiǐ-type operator for Corvino-Schoen hyperbolic gluing
Piotr T. Chruściel, Albachiara Cogo, Andrea Nützi
We construct a solution operator for the linearized constant scalar curvature equation at hyperbolic space in space dimension larger than or equal to two. The solution operator has…
Uniqueness of equipotential photon surfaces in 4-dimensional static vacuum asymptotically flat spacetimes for positive, negative, and zero mass -- and a new partial proof of the Willmore inequality
Carla Cederbaum, Albachiara Cogo, Axel Fehrenbach
We present different proofs of the uniqueness of 4-dimensional static vacuum asymptotically flat spacetimes containing a connected equipotential photon surface or in particular a c…
Uniqueness of static vacuum asymptotically flat black holes and equipotential photon surfaces in dimensions à la Robinson
Carla Cederbaum, Albachiara Cogo, Benedito Leandro +1
In this paper, we combine and generalize to higher dimensions the approaches to proving the uniqueness of connected (3+1)-dimensional static vacuum asymptotically flat black hole s…
Black Hole and Equipotential Photon Surface Uniqueness in 4-dimensional Asymptotically Flat Electrostatic Electro-Vacuum Spacetimes
Stefano Borghini, Carla Cederbaum, Albachiara Cogo
We study 4-dimensional asymptotically flat electrostatic electro-vacuum spacetimes with a connected black hole, photon sphere, or equipotential photon surface inner boundary. Our a…