{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,2]],"date-time":"2026-04-02T09:27:20Z","timestamp":1775122040808,"version":"3.50.1"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2018,5,22]],"date-time":"2018-05-22T00:00:00Z","timestamp":1526947200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Math Phys Anal Geom"],"published-print":{"date-parts":[[2018,6]]},"DOI":"10.1007\/s11040-018-9271-7","type":"journal-article","created":{"date-parts":[[2018,5,22]],"date-time":"2018-05-22T11:22:53Z","timestamp":1526988173000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Note on Expansiveness and Hyperbolicity for Generic Geodesic Flows"],"prefix":"10.1007","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1758-2225","authenticated-orcid":false,"given":"M\u00e1rio","family":"Bessa","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,5,22]]},"reference":[{"key":"9271_CR1","doi-asserted-by":"crossref","unstructured":"Abraham, R.: Bumpy metrics. In: Global analysis (Proc. Sympos. Pure Math., vol. XIV, Berkeley, Calif., 1968), pp 1\u20133. Amer. Math. Soc., Providence (1970)","DOI":"10.1090\/pspum\/014\/0271994"},{"key":"9271_CR2","unstructured":"Anosov, D.V.: Geodesic flows on closed Riemannian manifolds of negative curvature, Trudy Mat. Inst. Steklov., 90. (Russian) (1967)"},{"key":"9271_CR3","first-page":"48","volume-title":"Type des Points Fixes des Diff\u00e9omorphismes Symplectiques de $\\mathbb {T}^{n} \\mathbb {R}^{n}$ Tn\u211dn","author":"M-C Arnaud","year":"1992","unstructured":"Arnaud, M.-C.: Type des Points Fixes des Diff\u00e9omorphismes Symplectiques de \n                    \n                      \n                    \n                    \n                      \n                        \n                          \n                            T\n                          \n                          \n                            n\n                          \n                        \n                        \n                          \n                            \u211d\n                          \n                          \n                            n\n                          \n                        \n                      \n                    \n                    $\\mathbb {T}^{n} \\mathbb {R}^{n}$\n                  , p 48. M\u00e9m. Soc. Math. , France (1992)"},{"key":"9271_CR4","doi-asserted-by":"publisher","first-page":"1169","DOI":"10.1016\/j.crma.2008.07.012","volume":"346","author":"M Bessa","year":"2008","unstructured":"Bessa, M.: Generic incompressible flows are topological mixing. C. R. Acad. Sci. Paris, Ser. I 346, 1169\u20131174 (2008)","journal-title":"C. R. Acad. Sci. Paris, Ser. I"},{"issue":"6","key":"9271_CR5","doi-asserted-by":"publisher","first-page":"545","DOI":"10.1016\/j.crma.2015.03.012","volume":"353","author":"M Bessa","year":"2015","unstructured":"Bessa, M., Torres, M.J.: The c\n                           0 general density theorem for geodesic flows. C. R. Acad. Sci. Paris, Ser. I 353(6), 545\u2013549 (2015)","journal-title":"C. R. Acad. Sci. Paris, Ser. I"},{"issue":"3","key":"9271_CR6","doi-asserted-by":"publisher","first-page":"583","DOI":"10.1016\/S0252-9602(15)30005-9","volume":"35B","author":"M Bessa","year":"2015","unstructured":"Bessa, M., Lee, M., Wen, X.: Shadowing, expansiveness and specification for c\n                           1-conservative systems. Acta. Math. Sci. 35B(3), 583\u2013600 (2015)","journal-title":"Acta. Math. Sci."},{"key":"9271_CR7","doi-asserted-by":"publisher","first-page":"250","DOI":"10.1016\/j.na.2017.02.006","volume":"55","author":"M Bessa","year":"2017","unstructured":"Bessa, M., Dias, J.L., Torres, M.J.: On shadowing and hyperbolicity for geodesic flows on surfaces. Nonlinear Anal. Theory Methods Appl. 55, 250\u2013263 (2017)","journal-title":"Nonlinear Anal. Theory Methods Appl."},{"key":"9271_CR8","doi-asserted-by":"publisher","first-page":"180","DOI":"10.1016\/0022-0396(72)90013-7","volume":"12","author":"R Bowen","year":"1972","unstructured":"Bowen, R., Walters, P.: Expansive one-parameter flows. J. Diff. Equat. 12, 180\u2013193 (1972)","journal-title":"J. Diff. Equat."},{"key":"9271_CR9","doi-asserted-by":"publisher","first-page":"761","DOI":"10.4007\/annals.2010.172.761","volume":"172","author":"G Contreras","year":"2010","unstructured":"Contreras, G.: Geodesic flows with positive topological entropy, twist maps and hyperbolicity. Annals Math. 172, 761\u2013808 (2010)","journal-title":"Annals Math."},{"issue":"1","key":"9271_CR10","doi-asserted-by":"publisher","first-page":"1","DOI":"10.4310\/jdg\/1090351319","volume":"61","author":"G Contreras","year":"2002","unstructured":"Contreras, G., Paternain, G.: Genericity of geodesic flows with positive topological entropy on s\n                           2. J. Differ. Geom. 61(1), 1\u201349 (2002)","journal-title":"J. Differ. Geom."},{"key":"9271_CR11","doi-asserted-by":"publisher","first-page":"323","DOI":"10.1007\/BF01428204","volume":"197","author":"W Klingenberg","year":"1972","unstructured":"Klingenberg, W., Takens, F.: Generic properties of geodesic flows. Math. Ann. 197, 323\u2013334 (1972)","journal-title":"Math. Ann."},{"key":"9271_CR12","volume-title":"Propri\u00e9t\u00e9S Dynamiques Des Diff\u00e9omorphismes De l\u2019Anneau Et Du Tore","author":"P Le Calvez","year":"1991","unstructured":"Le Calvez, P.: Propri\u00e9t\u00e9S Dynamiques Des Diff\u00e9omorphismes De l\u2019Anneau Et Du Tore. Ast\u00e9risque 204, Soc. Math., France (1991)"},{"key":"9271_CR13","first-page":"162","volume-title":"Expansive diffeomorphisms, Lecture Notes in Mathematics, vol. 468","author":"R M\u00e3n\u00e9","year":"1975","unstructured":"M\u00e3n\u00e9, R.: Expansive diffeomorphisms, Lecture Notes in Mathematics, vol. 468, pp 162\u2013174. Springer, Berlin (1975)"},{"issue":"1","key":"9271_CR14","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1017\/S0143385700007264","volume":"13","author":"M Paternain","year":"1993","unstructured":"Paternain, M.: Expansive geodesic flows on surfaces. Ergod. Th. & Dynam. Sys. 13(1), 153\u2013165 (1993)","journal-title":"Ergod. Th. & Dynam. Sys."},{"key":"9271_CR15","doi-asserted-by":"publisher","first-page":"261","DOI":"10.1017\/S0143385700001978","volume":"3","author":"C Pugh","year":"1983","unstructured":"Pugh, C., Robinson, C.: The c\n                           1 closing lemma, including Hamiltonians. Ergod. Th. & Dynam. Sys. 3, 261\u2013313 (1983)","journal-title":"Ergod. Th. & Dynam. Sys."},{"key":"9271_CR16","doi-asserted-by":"publisher","first-page":"361","DOI":"10.4310\/jdg\/1349292669","volume":"91","author":"L Rifford","year":"2012","unstructured":"Rifford, L.: Closing geodesics in c\n                           1 topology. J. Differ. Geom. 91, 361\u2013381 (2012)","journal-title":"J. Differ. Geom."},{"key":"9271_CR17","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1007\/BF02099298","volume":"140","author":"R Ruggiero","year":"1991","unstructured":"Ruggiero, R.: Persistently expansive geodesic flows. Commun. Math. Phys. 140, 203\u2013215 (1991)","journal-title":"Commun. Math. Phys."},{"key":"9271_CR18","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1007\/BF02571508","volume":"208","author":"R Ruggiero","year":"1991","unstructured":"Ruggiero, R.: On the creation of conjugate points. Math. Z. 208, 41\u201355 (1991)","journal-title":"Math. Z."},{"issue":"3","key":"9271_CR19","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1017\/S0143385700008968","volume":"16","author":"R Ruggiero","year":"1996","unstructured":"Ruggiero, R.: On a conjecture about expansive geodesic flows. Ergod. Th. & Dynam. Sys. 16(3), 545\u2013553 (1996)","journal-title":"Ergod. Th. & Dynam. Sys."},{"key":"9271_CR20","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1002\/cpa.3160260204","volume":"26","author":"E Zehnder","year":"1973","unstructured":"Zehnder, E.: Homoclinic points near elliptic fixed points. Comm. Pure Appl. Math. 26, 131\u2013182 (1973)","journal-title":"Comm. Pure Appl. Math."}],"container-title":["Mathematical Physics, Analysis and Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11040-018-9271-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11040-018-9271-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11040-018-9271-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,22]],"date-time":"2019-05-22T12:32:52Z","timestamp":1558528372000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11040-018-9271-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,5,22]]},"references-count":20,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2018,6]]}},"alternative-id":["9271"],"URL":"https:\/\/doi.org\/10.1007\/s11040-018-9271-7","relation":{},"ISSN":["1385-0172","1572-9656"],"issn-type":[{"value":"1385-0172","type":"print"},{"value":"1572-9656","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,5,22]]},"assertion":[{"value":"25 September 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 May 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 May 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"14"}}