
(Note that when ~ = 1 the two inequalities coincide.) The proof will consist of two parts: (i) we show the validity in the universal covering of M, /~7/, of the construction given in Figure 3 in [2] (without the symmetry about the vertical geodesic) and then show, as in [2], that the top lateral geodesic in Figure 3 can intersect at most one of the side geodesics; (ii) will then consist of a comparison argument in the universal covering/(/ .
510.mathematics, topological cylinder, compact Riemann surface, Gauss curvature, Article, Global Riemannian geometry, including pinching, geodesics
510.mathematics, topological cylinder, compact Riemann surface, Gauss curvature, Article, Global Riemannian geometry, including pinching, geodesics
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