<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/">
<rdf:Description rdf:about="https://archives.ihes.fr/document/M_91_36.pdf">
    <dcterms:title><![CDATA[On Gradient curves of an analytic function near a critical point]]></dcterms:title>
    <dcterms:subject><![CDATA[COURBES]]></dcterms:subject>
    <dcterms:subject><![CDATA[ANALYSE VECTORIELLE]]></dcterms:subject>
    <dcterms:subject><![CDATA[FONCTIONS ANALYTIQUES]]></dcterms:subject>
    <dcterms:description><![CDATA[René Thom [T] conjectured that a gradient curve x(t) of an analytic function on Rn, wich descends to the critical point x(?) = 0 ? Rn, called a path, has there a tangent. We prove this in case n = 3 for standard paths and standard functions. <br />
For the remaining, rare paths and rare functions we reduce the conjecture for irreductible ? to an evident conjecture and give some arguments in favour of CRT for reductible ?. We did not succeed in elaborating these arguments to a complete proof that covers all cases.]]></dcterms:description>
    <dcterms:creator><![CDATA[KUIPER]]></dcterms:creator>
    <dcterms:source><![CDATA[M/91/36]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[06/1991]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[37 f.]]></dcterms:format>
    <dcterms:language><![CDATA[EN]]></dcterms:language>
    <dcterms:type><![CDATA[TEXTE]]></dcterms:type>
    <dcterms:type><![CDATA[PREPUBLICATION]]></dcterms:type>
    <dcterms:identifier><![CDATA[M_91_36.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[1991]]></dcterms:coverage>
    <dcterms:provenance><![CDATA[IHES]]></dcterms:provenance>
    <dcterms:rightsHolder><![CDATA[IHES]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[KUIPER]]></dcterms:rightsHolder>
</rdf:Description></rdf:RDF>
