Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Rafael O. Ruggiero"'
Publikováno v:
Geometriae Dedicata. 217
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::46a3f4409684cc9c68e256f1740f4a64
https://doi.org/10.1007/s10711-023-00771-5
https://doi.org/10.1007/s10711-023-00771-5
Autor:
Rafael O. Ruggiero
Publikováno v:
Transactions of the American Mathematical Society. 374:7263-7280
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::52b8930a7c5b7594069adef8e181efe7
https://doi.org/10.1090/tran/8428
https://doi.org/10.1090/tran/8428
Publikováno v:
manuscripta mathematica.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0a0df4d2ee8c0263be04f18dcf253ca0
https://doi.org/10.1007/s00229-022-01391-1
https://doi.org/10.1007/s00229-022-01391-1
Autor:
Rafael O. Ruggiero, Ludovic Rifford
Publikováno v:
Annales Henri Lebesgue
Annales Henri Lebesgue, 2021, 4, ⟨10.5802/ahl.87⟩
Annales Henri Lebesgue, 2021, 4, ⟨10.5802/ahl.87⟩
International audience; We study the C 2-structural stability conjecture from Mañé's viewpoint for geodesics flows of compact manifolds without conjugate points. The structural stability conjecture is an open problem in the category of geodesic flo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2bc130b13ffdcac1939a114beaba4e0f
https://hal.science/hal-01662529
https://hal.science/hal-01662529
Autor:
Katrin Gelfert, Rafael O. Ruggiero
We study the geodesic flow of a compact surface without conjugate points and genus greater than one and continuous Green bundles. Identifying each strip of bi-asymptotic geodesics induces an equivalence relation on the unit tangent bundle. Its quotie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49966f22eac96059b8aa78431194b98a
http://arxiv.org/abs/2009.11365
http://arxiv.org/abs/2009.11365
Autor:
Rafael O. Ruggiero, Katrin Gelfert
Publikováno v:
Proceedings of the Edinburgh Mathematical Society. 62:61-95
Given a smooth compact surface without focal points and of higher genus, it is shown that its geodesic flow is semi-conjugate to a continuous expansive flow with a local product structure such that the semi-conjugation preserves time parametrization.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::df95fdeb0101438c0e1e3470b24d94ba
https://doi.org/10.1017/s0013091518000160
https://doi.org/10.1017/s0013091518000160
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 38:6029-6045
We study the graph property for Lagrangian minimizing submanifolds of the geodesic flow of a Riemannian metric in the torus \begin{document}$ (T^{n},g) $\end{document} , \begin{document}$ n>2 $\end{document} . It is well known that the transitivity o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5017b10e6ea9dab037230f890f0a32d6
https://doi.org/10.3934/dcds.2018260
https://doi.org/10.3934/dcds.2018260
Autor:
Rodrigo P. Pacheco, Rafael O. Ruggiero
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 38:247-261
We show that given any \begin{document}$C^{\infty}$\end{document} Riemannian structure \begin{document}$(T^{2},g)$\end{document} in the two torus, \begin{document}$\epsilon >0$\end{document} and \begin{document}$\beta \in (0,\frac{1}{3})$\end{documen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4fc52e5aeafc2ba18620f18d3dbe1b7e
https://doi.org/10.3934/dcds.2018012
https://doi.org/10.3934/dcds.2018012
Publikováno v:
Bulletin of the Brazilian Mathematical Society, New Series. 46:621-644
We show that analytic, k-basic Finsler metrics in the two torus without conjugate points are analytically integrable, in the sense that the unit tangent bundle of the metric admits an analytic foliation by invariant Lagrangian graphs. This result, co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3c44bfdd8b05389574f6de8ea392e925
https://doi.org/10.1007/s00574-015-0106-x
https://doi.org/10.1007/s00574-015-0106-x
Publikováno v:
Differential Geometry and its Applications. 68:101588
We show that the geodesic flow of a compact Finsler manifold without conjugate points is transitive provided that the universal covering satisfies the uniform Finsler visibility condition. This result is a nontrivial extension of a well known theorem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0263c88d005fef365c9a21103727c3ad
https://doi.org/10.1016/j.difgeo.2019.101588
https://doi.org/10.1016/j.difgeo.2019.101588