<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>Horizontally homothetic submersions and nonnegative curvature</dc:title>
<dc:creator>Ye-Lin Ou</dc:creator><dc:creator>Frederick Wilhelm</dc:creator>
<dc:subject>53C20</dc:subject><dc:subject>53C21</dc:subject><dc:subject>horizontally homothetic submersions</dc:subject><dc:subject>Riemannian submersions</dc:subject><dc:subject>nonnegative curvature</dc:subject>
<dc:description>We show that any horizontally homothetic submersion from a compact manifold of nonnegative sectional curvature is a Riemannian submersion.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2007</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2007.56.2999</dc:identifier>
<dc:source>10.1512/iumj.2007.56.2999</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 56 (2007) 243 - 262</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>