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            <title xml:lang="fr">Sur le volume des variétés riemanniennes pincées</title>
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              <persName>
                <forename type="first">Marina</forename>
                <surname>Ville</surname>
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              <date type="whenProduced">1987</date>
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            <idno type="halRefHtml">&lt;i&gt;Bulletin de la société mathématique de France&lt;/i&gt;, 1987, 115, pp.127-139. &lt;a target="_blank" href="https://dx.doi.org/10.24033/bsmf.2072"&gt;&amp;#x27E8;10.24033/bsmf.2072&amp;#x27E9;&lt;/a&gt;</idno>
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                <title xml:lang="fr">Sur le volume des variétés riemanniennes pincées</title>
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                  <persName>
                    <forename type="first">Marina</forename>
                    <surname>Ville</surname>
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                <title level="j">Bulletin de la société mathématique de France</title>
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                  <publisher>Société Mathématique de France</publisher>
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              <p>Our purpose is to study the volume of those riemannian manifoids the metric of which is "close" to a constantly curved one. In even dimension the Gauss-Bonnet formula together with a pinching hypothesis (depending on thé dimension) yield a lower bound for this volume. In the general case we prove but an infinitésimal resuit: its setup is a C°° variation of metrics starting from an Einstein one. We assume that the first variation of the scalar curvature has a constant sign over the manifold and we dérive the sign of the first variation of the volume</p>
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          <orgName>Université Henri Poincaré - Nancy 1</orgName>
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