Geodesics without conjugate points and curvatures at infinity
AUTOR(ES)
MENDONÇA, SÉRGIO, ZHOU, DETANG
FONTE
Anais da Academia Brasileira de Ciências
DATA DE PUBLICAÇÃO
2000-06
RESUMO
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.