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An ampleness criterion with the extendability of singular positive metrics
Psh functions Singular metrics Currents ample line bundles
2011/9/13
Abstract: Coman, Guedj and Zeriahi proved that, for an ample line bundle $L$ on a projective manifold $X$, any singular positive metric on the line bundle $L|_{V}$ along a subvariety $V \subset X$ can...
Local extendability of Einstein vacuum manifolds
Einstein vacuum manifolds Mathematical Physics
2011/8/24
Abstract: We focus in this article on local extendability properties of Einstein vacuum spacetimes. We prove in particular a geometric breakdown criterion localized in space and time in a transversal ...
Absolutely Representing Systems of Exponentials in the Spaces of Infinitely-Differentiable Functions and Extendability in the Sense of Whitney
Exponentials Infinitely-Differentiable Functions Extendability
2010/3/1
Let Q be a compactum in~\mathbb{R}p, p\geqslant1, such that int Q\neq\varnothing and Q=\overline{ int Q}. Denote by C\infty[Q] the space of functions from C\infty( int Q) uniformly continuous in int Q...