{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,8]],"date-time":"2026-01-08T08:41:36Z","timestamp":1767861696682,"version":"3.49.0"},"reference-count":0,"publisher":"European Mathematical Society - EMS - Publishing House GmbH","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Port. Math."],"published-print":{"date-parts":[[2010,4,27]]},"abstract":"<jats:p>In the same way that a contact manifold determines and is determined by a symplectic cone, a Sasaki manifold determines and is determined by a suitable K\u00e4hler cone. K\u00e4hler\u2013Sasaki geometry is the geometry of these cones.<\/jats:p>\n                  <jats:p>This paper presents a symplectic action-angle coordinates approach to toric K\u00e4hler geometry and how it was recently generalized, by Burns\u2013Guillemin\u2013Lerman and Martelli\u2013Sparks\u2013Yau, to toric K\u00e4hler\u2013Sasaki geometry. It also describes, as an application, how this approach can be used to relate a recent new family of Sasaki\u2013Einstein metrics constructed by Gauntlett\u2013Martelli\u2013Sparks\u2013Waldram in 2004, to an old family of extremal K\u00e4hler metrics constructed by Calabi in 1982.<\/jats:p>","DOI":"10.4171\/pm\/1862","type":"journal-article","created":{"date-parts":[[2010,4,27]],"date-time":"2010-04-27T17:48:49Z","timestamp":1272390529000},"page":"121-153","source":"Crossref","is-referenced-by-count":13,"title":["K\u00e4hler\u2013Sasaki geometry of toric symplectic cones in action-angle coordinates"],"prefix":"10.4171","volume":"67","author":[{"given":"Miguel","family":"Abreu","sequence":"first","affiliation":[{"name":"Instituto Superior T\u00e9cnico, Lisboa, Portugal"}]}],"member":"2673","container-title":["Portugaliae Mathematica"],"original-title":[],"link":[{"URL":"http:\/\/www.ems-ph.org\/fulltext\/10.4171\/PM\/1862","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,30]],"date-time":"2025-10-30T12:05:19Z","timestamp":1761825919000},"score":1,"resource":{"primary":{"URL":"https:\/\/ems.press\/doi\/10.4171\/pm\/1862"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,4,27]]},"references-count":0,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.4171\/pm\/1862","relation":{},"ISSN":["0032-5155","1662-2758"],"issn-type":[{"value":"0032-5155","type":"print"},{"value":"1662-2758","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,4,27]]}}}