On the Pesin set of expansive
geodesic flows in manifolds with no conjugate
points |
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| Authors: | Rafael O Ruggiero Vladimir A Rosas Meneses |
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| Institution: | (1) Departamento de Matemática, Pontificia Universidade Católica do Rio de Janeiro, Rio de Janeiro, BRASIL;(2) Departamento de Matemática-ICex, Universidade Federal de Minas Gerais, Minas Gerais, BRASIL |
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| Abstract: | In this paper, we show that the Pesin set of an expansive
geodesic flow in compact manifold with no conjugate points and
bounded asymptote coincides a.e with an open and dense set of
the unit tangent bundle. We also show that the set of hyperbolic
periodic orbits is dense in the unit tangent bundle. |
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| Keywords: | expansive geodesic flow bounded asymptote Pesin set |
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