On Carlotto-Schoen-type scalar-curvature gluings
Piotr T. Chru\'sciel, Erwann Delay
TL;DR
This paper extends Carlotto-Schoen-type scalar curvature gluing techniques to cone-like sets and their deformations within smooth asymptotically Euclidean metrics, enabling new constructions in geometric analysis.
Contribution
It introduces a novel gluing method for scalar curvature on cone-like sets in asymptotically Euclidean spaces, expanding the scope of scalar curvature manipulations.
Findings
Successful construction of scalar curvature interpolations on cone-like sets
Extension of gluing techniques to deformed cone-like geometries
Potential applications in geometric and mathematical physics
Abstract
We carry out a Carlotto-Schoen-type gluing with interpolating scalar curvature on cone-like sets, or deformations thereof, in the category of smooth Riemannian asymptotically Euclidean metrics.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Cosmology and Gravitation Theories