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<title><string language="fre"><![CDATA[M. Lesourd - Positive Scalar Curvature on Noncompact Manifolds and the Positive Mass Theorem]]></string></title>
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<string language="fre"><![CDATA[The
study of positive scalar curvature on noncompact manifolds has seen 
significant progress in the last few years. A major role has been played
by Gromov's results and conjectures, and in particular the idea to use 
surfaces of prescribed mean curvature (as opposed to minimal surfaces). 
Having the classic positive mass theorem of Schoen-Yau in mind, we 
describe a new positive mass theorem for manifolds that allows for 
possibly non asymptotically flat ends, points of incompleteness, and 
regions negative scalar curvature. The proof is based on surfaces with 
prescribed mean curvature, and gives an alternative proof of the 
Liouville theorem conjectured by Schoen-Yau, which was recently proved 
by Chodosh-Li. This is joint with R.Unger and S-T. Yau.]]></string></description>
<keyword><string language="fre"><![CDATA[Grenoble]]></string></keyword><keyword><string language="fre"><![CDATA[scalar curvature]]></string></keyword><keyword><string language="fre"><![CDATA[eem2021]]></string></keyword><keyword><string language="fre"><![CDATA[contraintes de courbures et espaces métriques]]></string></keyword><keyword><string language="fre"><![CDATA[curvature constraints and spaces of metrics]]></string></keyword><keyword><string language="fre"><![CDATA[noncompact manifolds]]></string></keyword><keyword><string language="fre"><![CDATA[positive mass theorem]]></string></keyword>
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<date><dateTime>2021-07-01</dateTime></date>
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CC BY-NC-ND 4.0]]></string>
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