Work

A Bogovskiǐ-type operator for Corvino–Schoen hyperbolic gluing

Year: 2025

Type: article

Abstract: We construct a solution operator for the linearized constant scalar curvature equation at hyperbolic space in dimension larger than or equal to two. The solution operator has good support propagation properties and gains two derivatives relative to standard norms. It can be used for Corvino–Schoen-type hyperbolic gluing, partly extending the recently introduced Mao–Oh–Tao gluing method to the hyperbolic setting.

Source: Classical and Quantum Gravity

DOI: 10.1088/1361-6382/adda88

Authors: Piotr T Chruściel, Albachiara Cogo, Andrea Nützi

Institutions: University of Vienna, University of Tübingen, Stanford University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Award: Algebraic methods in General Relativity: Perturbations and scattering about Minkowski spacetime, and one BKL bounce