<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0034-7426</journal-id>
<journal-title><![CDATA[Revista Colombiana de Matemáticas]]></journal-title>
<abbrev-journal-title><![CDATA[Rev.colomb.mat.]]></abbrev-journal-title>
<issn>0034-7426</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0034-74262017000200241</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[The Ricci flow on a cylinder]]></article-title>
<article-title xml:lang="es"><![CDATA[El flujo de Ricci en un cilindro]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[CORTISSOZ]]></surname>
<given-names><![CDATA[JEAN C.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[MURCIA]]></surname>
<given-names><![CDATA[ALEXANDER]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de los Andes  ]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2017</year>
</pub-date>
<volume>51</volume>
<numero>2</numero>
<fpage>241</fpage>
<lpage>257</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0034-74262017000200241&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0034-74262017000200241&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0034-74262017000200241&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT. In this paper we study the Ricci flow on surfaces homeomorphic to a cylinder (that is, a product of the circle with a compact interval). We prove longtime existence results, results on the asymptotic behavior of the flow, and we report on an interesting phenomenon: convergence to constant curvature in the normalised flow, under certain assumptions on the initial data, cannot be exponential.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN. En este artículo estudiamos el flujo de Ricci en superficies homeomorfas al cilindro (esto es, el producto de un círculo con un intervalo compacto). Al respecto, demostramos teoremas de existencia para todo tiempo de las soluciones asumiendo cierta simetría, teoremas sobre comportamiento asintótico, y reportamos un fenómeno interesante: la convergencia a curvatura constante en el flujo normalizado, bajo ciertas restricciones impuestas a la condición inicial, no puede ser exponencial.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Ricci flow]]></kwd>
<kwd lng="en"><![CDATA[blow-up]]></kwd>
<kwd lng="en"><![CDATA[convergence]]></kwd>
<kwd lng="es"><![CDATA[Flujo de Ricci]]></kwd>
<kwd lng="es"><![CDATA[explosion]]></kwd>
<kwd lng="es"><![CDATA[convergencia]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>[1]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Brendle]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Curvature flows on surfaces with boundary]]></article-title>
<source><![CDATA[Math. Ann]]></source>
<year>2002</year>
<volume>324</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>491-519</page-range></nlm-citation>
</ref>
<ref id="B2">
<label>[2]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cortissoz]]></surname>
<given-names><![CDATA[J. C]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The Ricci flow on the two-ball with a rotationally symmetric metric]]></article-title>
<source><![CDATA[Russian Math. (Iz. VUZ)]]></source>
<year>2007</year>
<volume>51</volume>
<page-range>30-51</page-range></nlm-citation>
</ref>
<ref id="B3">
<label>[3]</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cortissoz]]></surname>
<given-names><![CDATA[J. C]]></given-names>
</name>
<name>
<surname><![CDATA[Murcia]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
</person-group>
<source><![CDATA[The Ricci flow on surfaces with boundary]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B4">
<label>[4]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hamilton]]></surname>
<given-names><![CDATA[R. S]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The Ricci flow on surfaces]]></article-title>
<source><![CDATA[Mathematics and general relativity (Santa Cruz, CA)]]></source>
<year>1986</year>
<volume>71</volume>
<page-range>237-62</page-range></nlm-citation>
</ref>
<ref id="B5">
<label>[5]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Murcia]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The Ricci flow on the barrel]]></article-title>
<source><![CDATA[Lobachevskii J. Math]]></source>
<year>2016</year>
<volume>37</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>75-9</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
