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Metric circles and bisectors. (English) Zbl 0354.53037

MSC:

53C20 Global Riemannian geometry, including pinching
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References:

[1] Busemann, H.: Über die Geometrien, in denen die ?Kreise mit unendlichem Radius? die kürzesten Linien sind. Math. Ann.106, 140-160 (1932) · Zbl 0003.31602 · doi:10.1007/BF01455883
[2] Eberlein, P.: Geodesic flows on negatively curved manifolds II. Trans. Amer. math. Soc.178, 57-82 (1973) · Zbl 0264.53027 · doi:10.1090/S0002-9947-1973-0314084-0
[3] Eberlein, P.: The cut locus of noncompact finitely connected surfaces without conjugate points. Commentarii math. Helvet.51, 23-41 (1976) · Zbl 0331.53029 · doi:10.1007/BF02568141
[4] Eberlein, P.: Geodesics and ends in certain surfaces without conjugate points. Mem. Amer. Math. Soc. (to appear) · Zbl 0379.53017
[5] Eberlein, P., O’Neill, B.: Visibility manifolds. Pacific J. Math.46, 45-109 (1973) · Zbl 0264.53026
[6] Grant, A.: Surfaces of negative curvature and permanent regional transitivity. Duke math. J.5, 207-229 (1939) · JFM 65.1412.02 · doi:10.1215/S0012-7094-39-00520-X
[7] Im Hof, H.C.: The family of horospheres through two points. Preprint, Berkeley, 1976 · Zbl 0379.53020
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