Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux
Analysis of PDEs
2007-05-23 v1 Differential Geometry
Abstract
The main objective of the paper is to prove a geometric version of sharp trace and product estimates on null hypersurfaces with finite curvature flux. These estimates play a crucial role to control the geometry of such null hypersurfaces. The paper is based on an invariant version of the classical Littlewood -Paley theory, in a noncommutative setting, defined via heat flow on surfaces.
Cite
@article{arxiv.math/0309459,
title = {Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux},
author = {Sergiu Klainerman and Igor Rodnianski},
journal= {arXiv preprint arXiv:math/0309459},
year = {2007}
}