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Communications in Mathematical Physics
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Other literature type . 1971
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Communications in Mathematical Physics
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New elliptic system and global solutions for the constraints equations in General relativity

New elliptic system and global solutions for the constraints equations in general relativity
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Sep 1971Publisher:Springer Science and Business Media LLCJournal:Communications in Mathematical Physics, volume 21, pages 211-218 (issn: 0010-3616, eissn: 1432-0916, Copyright policy )
Authors: Choquet-Bruhat, Yvonne;

doi: 10.1007/bf01647119

New elliptic system and global solutions for the constraints equations in General relativity

Abstract

By a new choice of the arbitrarily given quantities on an initial 3-manifold we reduce the system of constraints, in General Relativity, to an elliptic system of four equations, the coefficients of which have a simple geometric interpretation on the 3-manifold. The system seems well suited for a global study and some results are given in this direction.

Related Organizations
Keywords

General relativity, Elliptic equations on manifolds, general theory, Applications of global differential geometry to the sciences

  • BIP!
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    		 41
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    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
41
Average
Top 10%
Average
Green
bronze