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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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Publicat a:Anais da Academia Brasileira de Ciências
Autors principals: Detang Zhou, Sérgio Mendonça
Format: Artigo
Idioma:Inglês
Publicat: Academia Brasileira de Ciências 2000
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Accés en línia:https://www.redalyc.org/articulo.oa?id=32772202
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