<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>Characterization of Einstein-Fano manifolds via the K\&quot;ahler-Ricci flow</dc:title>
<dc:creator>Nefton Pali</dc:creator>
<dc:subject>32U05complex-Monge-Ampere equations</dc:subject>
<dc:description>We explain a characterization of Einstein-Fano manifolds in terms of the lower bound of the density of the volume of the K\&quot;ahler-Ricci Flow. This is a consequence of Perelman&#39;s uniform estimate for the K\&quot;ahler-Ricci Flow and a $C^0$ estimate of Tian and Zhu. We remark also a new monotonicity of Perelman&#39;s $\mathscr{W}$ functional along the K\&quot;ahler-Ricci Flow with respect to the Ricci potential with scale factor $\frac{1}{2}$.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2008</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2008.57.3426</dc:identifier>
<dc:source>10.1512/iumj.2008.57.3426</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 57 (2008) 3241 - 3274</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>