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Geodesics without conjugate points and curvatures at infinity

We study the asymptotic behavior of curvature and prove that the integral of curvature along ageodesic without conjugate points is nonpositive and some generalizations of Myers theorem andCohn-Vossen’s theorem. Some applications are also given.

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Bibliografische gegevens
Gepubliceerd in:Anais da Academia Brasileira de Ciências
Hoofdauteurs: Detang Zhou, Sérgio Mendonça
Formaat: Artigo
Taal:Inglês
Gepubliceerd in: Academia Brasileira de Ciências 2000
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Online toegang:https://www.redalyc.org/articulo.oa?id=32772202
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