{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T14:30:22Z","timestamp":1772289022636,"version":"3.50.1"},"reference-count":0,"publisher":"European Mathematical Society - EMS - Publishing House GmbH","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Port. Math."],"published-print":{"date-parts":[[2019,9,30]]},"abstract":"<jats:p>\n                    The space of continuous time symmetries of a flow\n                    <jats:inline-formula>\n                      <jats:tex-math>(X_t)_{t\\in\\mathbb R}<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    consists of the space of flows commuting with\n                    <jats:inline-formula>\n                      <jats:tex-math>(X_t)_{t\\in\\mathbb R}<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    . We prove that\n                    <jats:inline-formula>\n                      <jats:tex-math>C^1<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    -generic singular Axiom A flows on three-dimensional manifolds,\n                    <jats:inline-formula>\n                      <jats:tex-math>C^1<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    -generic Axiom A flows in arbitrary dimension and\n                    <jats:inline-formula>\n                      <jats:tex-math>C^1<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    -generic flows on surfaces have trivial symmetries, that is, any flow commuting with any of the latter is a constant reparametrization of it.\n                  <\/jats:p>","DOI":"10.4171\/pm\/2025","type":"journal-article","created":{"date-parts":[[2019,9,30]],"date-time":"2019-09-30T17:34:42Z","timestamp":1569864882000},"page":"29-48","source":"Crossref","is-referenced-by-count":4,"title":["$C^1$-generic sectional Axiom A flows have only trivial symmetries"],"prefix":"10.4171","volume":"76","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3862-3540","authenticated-orcid":false,"given":"Wescley","family":"Bonomo","sequence":"first","affiliation":[{"name":"Universidade Federal do Esp\u00edrito Santo, S\u00e3o Matheus, Brazil"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0902-8718","authenticated-orcid":false,"given":"Paulo","family":"Varandas","sequence":"additional","affiliation":[{"name":"Universidade Federal da Bahia, Salvador, Brazil"}]}],"member":"2673","container-title":["Portugaliae Mathematica"],"original-title":[],"link":[{"URL":"https:\/\/www.ems-ph.org\/fulltext\/10.4171\/PM\/2025","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T13:12:49Z","timestamp":1762261969000},"score":1,"resource":{"primary":{"URL":"https:\/\/ems.press\/doi\/10.4171\/pm\/2025"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,9,30]]},"references-count":0,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.4171\/pm\/2025","relation":{},"ISSN":["0032-5155","1662-2758"],"issn-type":[{"value":"0032-5155","type":"print"},{"value":"1662-2758","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,9,30]]}}}