Geodesics without conjugate points and curvatures at infinity

Bibliographic Details
Main Author: MENDONÇA,SÉRGIO
Publication Date: 2000
Other Authors: ZHOU,DETANG
Format: Article
Language: eng
Source: Anais da Academia Brasileira de Ciências (Online)
Download full: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652000000200002
Summary: We study the asymptotic behavior of curvature and prove that the integral of curvature along a geodesic without conjugate points is nonpositive and some generalizations of Myers theorem and Cohn-Vossen's theorem. Some applications are also given.
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spelling Geodesics without conjugate points and curvatures at infinityRiemannian manifoldgeodesicconjugate pointWe study the asymptotic behavior of curvature and prove that the integral of curvature along a geodesic without conjugate points is nonpositive and some generalizations of Myers theorem and Cohn-Vossen's theorem. Some applications are also given.Academia Brasileira de Ciências2000-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652000000200002Anais da Academia Brasileira de Ciências v.72 n.2 2000reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/S0001-37652000000200002info:eu-repo/semantics/openAccessMENDONÇA,SÉRGIOZHOU,DETANGeng2000-08-07T00:00:00Zoai:scielo:S0001-37652000000200002Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2000-08-07T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv Geodesics without conjugate points and curvatures at infinity
title Geodesics without conjugate points and curvatures at infinity
spellingShingle Geodesics without conjugate points and curvatures at infinity
MENDONÇA,SÉRGIO
Riemannian manifold
geodesic
conjugate point
title_short Geodesics without conjugate points and curvatures at infinity
title_full Geodesics without conjugate points and curvatures at infinity
title_fullStr Geodesics without conjugate points and curvatures at infinity
title_full_unstemmed Geodesics without conjugate points and curvatures at infinity
title_sort Geodesics without conjugate points and curvatures at infinity
author MENDONÇA,SÉRGIO
author_facet MENDONÇA,SÉRGIO
ZHOU,DETANG
author_role author
author2 ZHOU,DETANG
author2_role author
dc.contributor.author.fl_str_mv MENDONÇA,SÉRGIO
ZHOU,DETANG
dc.subject.por.fl_str_mv Riemannian manifold
geodesic
conjugate point
topic Riemannian manifold
geodesic
conjugate point
description We study the asymptotic behavior of curvature and prove that the integral of curvature along a geodesic without conjugate points is nonpositive and some generalizations of Myers theorem and Cohn-Vossen's theorem. Some applications are also given.
publishDate 2000
dc.date.none.fl_str_mv 2000-06-01
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=S0001-37652000000200002
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652000000200002
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0001-37652000000200002
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.72 n.2 2000
reponame:Anais da Academia Brasileira de Ciências (Online)
instname:Academia Brasileira de Ciências (ABC)
instacron:ABC
instname_str Academia Brasileira de Ciências (ABC)
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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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