<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

On the Weyl Problem in Minkowski Space

Name: On the Weyl Problem in Minkowski Space
Creator: Graham Smith
Keywords: Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, 30F60, 53C50, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 18 Jun 2021Embargo end date: 01 Jan 2020Publisher:Oxford University Press (OUP)Journal:International Mathematics Research Notices, volume 2,022, pages 15,187-15,239 (issn: 1073-7928, eissn: 1687-0247,

Authors: Graham Smith;

doi: 10.1093/imrn/rnab121 , 10.48550/arxiv.2005.01137

arXiv: http://arxiv.org/abs/2005.01137

On the Weyl Problem in Minkowski Space

- Summary
- Subjects
- Metrics

Abstract

Abstract Let $S$ be a closed surface of hyperbolic type. We show that, for every pair $(g_+,g_-)$ of negatively curved metrics over $S$, there exists a unique globally hyperbolic, maximal, and Cauchy compact Minkowski spacetime $X$ into which $(S,g_+)$ and $(S,g_-)$ isometrically embed as Cauchy surfaces in the future and past components, respectively.

Related Organizations

Federal University of Rio de Janeiro
Brazil
Federal University of Rio de Janeiro
Brazil

Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, 30F60, 53C50

Impact byBIP!

	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).	2
	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.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Average

Green

hybrid

Fields of Science

Fields of Science