{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T01:45:06Z","timestamp":1773539106748,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":11,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783642400193","type":"print"},{"value":"9783642400209","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-40020-9_67","type":"book-chapter","created":{"date-parts":[[2013,8,18]],"date-time":"2013-08-18T21:32:37Z","timestamp":1376861557000},"page":"604-611","source":"Crossref","is-referenced-by-count":3,"title":["Information\/Contact Geometries and Koszul Entropy"],"prefix":"10.1007","author":[{"given":"Fr\u00e9d\u00e9ric","family":"Barbaresco","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"67_CR1","first-page":"285","volume":"2","author":"J.L. Koszul","year":"1965","unstructured":"Koszul, J.L.: Vari\u00e9t\u00e9s localement plates et convexit\u00e9. Osaka J. Math.\u00a02, 285\u2013290 (1965)","journal-title":"Osaka J. Math."},{"issue":"4","key":"67_CR2","first-page":"641","volume":"24","author":"J. Vey","year":"1970","unstructured":"Vey, J.: Sur les automorphismes affines des ouverts convexes saillants, Annali della Scuola Normale Superiore di Pisa, Classe di Science, 3e s\u00e9rie, tome 24(4), 641\u2013665 (1970)","journal-title":"Classe di Science, 3e s\u00e9rie, tome"},{"key":"67_CR3","unstructured":"Massieu, F.: Thermodynamique: M\u00e9moire sur les fonctions caract\u00e9ristiques des divers fluides et sur la th\u00e9orie des vapeurs, 92 pages. Acad\u00e9mie des Sciences (1876)"},{"key":"67_CR4","doi-asserted-by":"crossref","unstructured":"Duhem, P.: Sur les \u00e9quations g\u00e9n\u00e9rales de la Thermodynamique, Annales Scientifiques de l\u2019Ecole Normale Sup\u00e9rieure, 3e s\u00e9rie, tome VIII, 231 (1891)","DOI":"10.24033\/asens.358"},{"key":"67_CR5","unstructured":"Laplace, P.S.: M\u00e9moire sur la probabilit\u00e9 des causes sur les \u00e9v\u00e8nements. M\u00e9moires de Math\u00e9matique et de Physique, Tome Sixi\u00e8me (1774)"},{"key":"67_CR6","unstructured":"Arnold, V.I., Givental, A.G.: Symplectic geometry, Encyclopedia of mathematical science, vol. 4. Springer (translated from Russian)"},{"issue":"4","key":"67_CR7","doi-asserted-by":"publisher","first-page":"1545","DOI":"10.2140\/pjm.1957.7.1545","volume":"7","author":"P. Dedecker","year":"1957","unstructured":"Dedecker, P.: A property of differential forms in the calculus of variations. Pacific J. Math.\u00a07(4), 1545\u20131549 (1957)","journal-title":"Pacific J. Math."},{"key":"67_CR8","first-page":"716","volume":"27","author":"T. Lepage","year":"1936","unstructured":"Lepage, T.: Sur les champs g\u00e9od\u00e9siques du calcul des variations. Bull. Acad. Roy. Belg., CL. Sci.\u00a027, 716\u2013729, 1036\u20131046 (1936)","journal-title":"Bull. Acad. Roy. Belg., CL. Sci."},{"key":"67_CR9","first-page":"167","volume":"1142","author":"R. Mrugala","year":"2000","unstructured":"Mrugala, R.: On contact and metric structures on thermodynamic spaces. RIMS Kokyuroku\u00a01142, 167\u2013181 (2000)","journal-title":"RIMS Kokyuroku"},{"key":"67_CR10","first-page":"163","volume-title":"Proceedings of the Gibbs Symposium","author":"V.I. Arnold","year":"1990","unstructured":"Arnold, V.I.: Contact geometry: the geometrical method of Gibbs\u2019s thermodynamics. In: Proceedings of the Gibbs Symposium, pp. 163\u2013179. Amer. Math. Soc., Providence (1990)"},{"key":"67_CR11","unstructured":"Cartan, E.: Le\u00e7ons sur les invariants int\u00e9graux, Hermann, Paris (1922)"}],"container-title":["Lecture Notes in Computer Science","Geometric Science of Information"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-40020-9_67","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,16]],"date-time":"2019-05-16T14:29:10Z","timestamp":1558016950000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-40020-9_67"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642400193","9783642400209"],"references-count":11,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-40020-9_67","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013]]}}}