<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" 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:creator>Bernig, Andreas</dc:creator>
  <dc:creator>Bröcker, Ludwig</dc:creator>
  <dc:date>2007</dc:date>
  <dc:description xmlns:ns0="xml" ns0:lang="en">Smooth valuations on manifolds are studied by establishing a link with the Rumin-de  Rham complex of the co-sphere bundle. Several operations on differential forms  induce operations on smooth valuations: signature operator, Rumin-Laplace operator,  Euler-Verdier involution and derivation operator. As an application, Alesker’s Hard  Lefschetz Theorem for even translation invariant valuations on a finite-dimensional  Euclidean space is generalized to all translation invariant valuations. The proof uses  Kaehler identities, the Rumin-de Rham complex and spectral geometry.</dc:description>
  <dc:format>application/pdf</dc:format>
  <dc:identifier>https://folia.unifr.ch/global/documents/300422</dc:identifier>
  <dc:identifier>https://folia.unifr.ch/documents/300422/files/bernig_vmr.pdf</dc:identifier>
  <dc:language>eng</dc:language>
  <dc:relation>info:eu-repo/semantics/altIdentifier/doi/10.4310/jdg/1175266280</dc:relation>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>License undefined</dc:rights>
  <dc:source>Journal of Differential Geometry. - 2007, vol. 75, no. 3, p. 433-457</dc:source>
  <dc:subject>info:eu-repo/classification/udc/51</dc:subject>
  <dc:title xmlns:ns1="xml" ns1:lang="en">Valuations on manifolds and Rumin cohomology</dc:title>
  <dc:type>http://purl.org/coar/resource_type/c_6501</dc:type>
</oai_dc:dc>