On Manifolds Admitting Continuous Foliations by Geodesics |
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| Authors: | Rafael O. Ruggiero |
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| Affiliation: | (1) Dep. de Matemática, Pontificia Universidade Catolica do Rio de Janeiro, Rua Marqués de São Vicente, 225, Gávea, Rio de Janeiro, Brasil |
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| Abstract: | We show that complete, simply connected Riemannian manifolds admitting continuous foliations by geodesics with integrable orthogonal distributions are homeomorphic to products F×R. Moreover, the geodesics in the foliation are global minimizers. |
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| Keywords: | geodesic foliation integrable distribution. |
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