Advances in Theoretical and Mathematical Physics

Volume 17 (2013)

Number 4

Initial data sets with ends of cylindrical type: II. The vector constraint equation.

Pages: 829 – 865

DOI: http://dx.doi.org/10.4310/ATMP.2013.v17.n4.a4

Authors

Piotr T. Chrusciel (Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France; University of Vienna)

Rafe Mazzeo (Stanford University)

Samuel Pocchiola (Université Paris Sud, France)

Abstract

We construct solutions of the vacuum vector constraint equations on manifolds with cylindrical ends.

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