On reduced L2 cohomology of hypersurfaces in spheres with finite total curvature

Detalhes bibliográficos
Autor(a) principal: ZHU,PENG
Data de Publicação: 2016
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Anais da Academia Brasileira de Ciências (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652016000602053
Resumo: Abstract In this paper, we prove that the dimension of the second space of reduced L2 cohomology of M is finite if is a complete noncompact hypersurface in a sphere ��n+1and has finite total curvature (n≥3).
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spelling On reduced L2 cohomology of hypersurfaces in spheres with finite total curvaturetotal curvaturereduced L2 cohomologyhypersurface in sphereL2 harmonic 2-formAbstract In this paper, we prove that the dimension of the second space of reduced L2 cohomology of M is finite if is a complete noncompact hypersurface in a sphere ��n+1and has finite total curvature (n≥3).Academia Brasileira de Ciências2016-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652016000602053Anais da Academia Brasileira de Ciências v.88 n.4 2016reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/0001-3765201620150085info:eu-repo/semantics/openAccessZHU,PENGeng2017-06-12T00:00:00Zoai:scielo:S0001-37652016000602053Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2017-06-12T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv On reduced L2 cohomology of hypersurfaces in spheres with finite total curvature
title On reduced L2 cohomology of hypersurfaces in spheres with finite total curvature
spellingShingle On reduced L2 cohomology of hypersurfaces in spheres with finite total curvature
ZHU,PENG
total curvature
reduced L2 cohomology
hypersurface in sphere
L2 harmonic 2-form
title_short On reduced L2 cohomology of hypersurfaces in spheres with finite total curvature
title_full On reduced L2 cohomology of hypersurfaces in spheres with finite total curvature
title_fullStr On reduced L2 cohomology of hypersurfaces in spheres with finite total curvature
title_full_unstemmed On reduced L2 cohomology of hypersurfaces in spheres with finite total curvature
title_sort On reduced L2 cohomology of hypersurfaces in spheres with finite total curvature
author ZHU,PENG
author_facet ZHU,PENG
author_role author
dc.contributor.author.fl_str_mv ZHU,PENG
dc.subject.por.fl_str_mv total curvature
reduced L2 cohomology
hypersurface in sphere
L2 harmonic 2-form
topic total curvature
reduced L2 cohomology
hypersurface in sphere
L2 harmonic 2-form
description Abstract In this paper, we prove that the dimension of the second space of reduced L2 cohomology of M is finite if is a complete noncompact hypersurface in a sphere ��n+1and has finite total curvature (n≥3).
publishDate 2016
dc.date.none.fl_str_mv 2016-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652016000602053
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652016000602053
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/0001-3765201620150085
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Academia Brasileira de Ciências
publisher.none.fl_str_mv Academia Brasileira de Ciências
dc.source.none.fl_str_mv Anais da Academia Brasileira de Ciências v.88 n.4 2016
reponame:Anais da Academia Brasileira de Ciências (Online)
instname:Academia Brasileira de Ciências (ABC)
instacron:ABC
instname_str Academia Brasileira de Ciências (ABC)
instacron_str ABC
institution ABC
reponame_str Anais da Academia Brasileira de Ciências (Online)
collection Anais da Academia Brasileira de Ciências (Online)
repository.name.fl_str_mv Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)
repository.mail.fl_str_mv ||aabc@abc.org.br
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