Non-hyperbolic surfaces having all ideal triangles with finite area |
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| Authors: | Gonzalo Contreras Rafael Oswaldo Ruggiero |
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| Institution: | (1) PUC-Rio Dep. de Matemática, Pontificia Universidade Católica do Rio de Janeiro, Rua Marqués de São Vicente 225, Gávea, Rio de Janeiro, Brasil |
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| Abstract: | We construct examples ofC
3 compact surfaces of non-positive curvature having non-Anosov geodesic flows and satisfying the following property: there existsL>0 such that the area of every ideal triangle in the universal covering of the surface is bounded above byL.Partially supported by CNPq of Brazilian Government |
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