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arXiv · 1507.01081

Nonexistence and Nonuniqueness Results for Solutions to the Vacuum Einstein Conformal Constraint Equations

Nguyen The Cang
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Abstract

In this article, we give nonexistence and nonuniqueness results for the vacuum Einstein conformal constraint equations in the far-from-CMC case and also show that in some cases the equations of the conformal method for positive Yamabe metrics and with TT-tensor $\sigma$ = 0 have a non-trivial solution, and thus answer a question by D. Maxwell.

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Nguyen The Cang. 2015-07-04. Nonexistence and Nonuniqueness Results for Solutions to the Vacuum Einstein Conformal Constraint Equations. https://arxiv.org/abs/1507.01081

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