Geodesics without conjugate points and curvatures at infinity.
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.
Instituto de Matemática, Universidade Federal Fluminense, Niterói, RJ, 24020-140.
S
Mendonça
D
Zhou