Geodesics without conjugate points and curvatures at infinity
نویسندگان
چکیده
منابع مشابه
On the Distribution of Conjugate Points along Semi-riemannian Geodesics
Helfer in [6] was the first to produce an example of a spacelike Lorentzian geodesic with a continuum of conjugate points. In this paper we show the following result: given an interval [a, b] of IR and any closed subset F of IR contained in ]a, b], then there exists a Lorentzian manifold (M, g) and a spacelike geodesic γ : [a, b] → M such that γ(t) is conjugate to γ(a) along γ iff t ∈ F .
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ژورنال
عنوان ژورنال: Anais da Academia Brasileira de Ciências
سال: 2000
ISSN: 0001-3765
DOI: 10.1590/s0001-37652000000200002