Conjugate points on geodesics of Hofer's metric
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 .
متن کاملDistance Functions and Geodesics on Points Clouds
An algorithm for computing intrinsic distance functions and geodesics on sub-manifolds of given by point clouds is introduced in this paper. The basic idea is that, as shown in this paper, intrinsic distance functions and geodesics on general co-dimension sub-manifolds of can be accurately approximated by the extrinsic Euclidean ones computed in a thin offset band surrounding the manifold. This...
متن کاملGeodesics in Asymmetric Metric Spaces
In a recent paper [16] we studied asymmetric metric spaces; in this context we studied the length of paths, introduced the class of runcontinuous paths; we noted that there are different definitions of “length space” (also known as “path-metric space” or “intrinsic space”). In this paper we continue the analysis of asymmetric metric spaces. We propose possible definitions of completeness and (l...
متن کاملWeierstrass Points and Simple Geodesics
We investigate the set of tangent vectors at a Weierstrass point tangent to complete simple geodesics, which we think of as an innnitesimal version of the Birman Series set, showing that they are a Cantor set of Haus-dorr dimension 1. The gaps in the Cantor set are classiied in terms of the topological behavior of those geodesics tangent to the vector bounding them and deduce 3 new identities f...
متن کاملOn Best Proximity Points in metric and Banach spaces
Notice that best proximity point results have been studied to find necessaryconditions such that the minimization problemminx∈A∪Bd(x,Tx)has at least one solution, where T is a cyclic mapping defined on A∪B.A point p ∈ A∪B is a best proximity point for T if and only if thatis a solution of the minimization problem (2.1). Let (A,B) be a nonemptypair in a normed...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 1996
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(96)00027-7