<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>Area implies coarea</dc:title>
<dc:creator>Valentino Magnani</dc:creator>
<dc:subject>28A75</dc:subject><dc:subject>22E25</dc:subject><dc:subject>coarea formula</dc:subject><dc:subject>Heisenberg groups</dc:subject>
<dc:description>We regard one side of the coarea formula as a measure and compute its density by an area-type formula. As an application, we show the first nontrivial example of coarea formula for vector-valued sub-Riemannian Lipschitz mappings.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2011</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2011.60.4172</dc:identifier>
<dc:source>10.1512/iumj.2011.60.4172</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 60 (2011) 77 - 100</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>