geodesics without conjugate points and curvatures at infinity

geodesics without conjugate points and curvatures at infinity

;MENDONÇA SÉRGIO;ZHOU DETANG
hypertension (dallas, tex : 1979) 2000 Vol. 72 pp. 117-124
133
srgio2000anaisgeodesics

Abstract

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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