{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,2,7]],"date-time":"2024-02-07T17:16:49Z","timestamp":1707326209166},"reference-count":20,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05n06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Geom. Methods Mod. Phys."],"published-print":{"date-parts":[[2006,9]]},"abstract":"<jats:p>We compute explicit transgression forms for the Euler and Pontrjagin classes of a Riemannian manifold M of dimension 4 under a conformal change of the metric, or a change to a Riemannian connection with torsion. These formulas describe the singular set of some connections with singularities on compact manifolds as a residue formula in terms of a polynomial of invariants. We give some applications for minimal submanifolds of K\u00e4hler manifolds. We also express the difference of the first Chern class of two almost complex structures, and in particular an obstruction to the existence of a homotopy between them, by a residue formula along the set of anti-complex points. Finally we take the first steps in the study of obstructions for two almost quaternionic-Hermitian structures on a manifold of dimension 8 to have homotopic fundamental forms or isomorphic twistor spaces.<\/jats:p>","DOI":"10.1142\/s0219887806001442","type":"journal-article","created":{"date-parts":[[2006,10,17]],"date-time":"2006-10-17T16:26:00Z","timestamp":1161102360000},"page":"1221-1254","source":"Crossref","is-referenced-by-count":0,"title":["TRANSGRESSION FORMS IN DIMENSION 4"],"prefix":"10.1142","volume":"03","author":[{"given":"ISABEL M. C.","family":"SALAVESSA","sequence":"first","affiliation":[{"name":"Centro de F\u00edsica das Interac\u00e7\u00f5es Fundamentais, Instituto Superior T\u00e9cnico, Edif\u00edcio Ci\u00eancia, Piso 3, 1049-001 Lisboa, Portugal"}]},{"given":"ANA PEREIRA","family":"DO VALE","sequence":"additional","affiliation":[{"name":"Centro de Matem\u00e1tica, Universidade do Minho, Campus de Gualtar, 4710-057 Braga, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","first-page":"68","volume":"4","author":"Alekseevsky D. V.","journal-title":"Funktsional Anal. i Prilozhen."},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/BF01425417"},{"key":"rf7","volume-title":"G\u00e9om\u00e9trie riemannienne en dimension 4","author":"Besse A. L.","year":"1981"},{"key":"rf8","volume-title":"Ergebnisse der Mathematik und ihrer Grenzgebiete (3)","author":"Besse A. 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Differential Geom."}],"container-title":["International Journal of Geometric Methods in Modern Physics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219887806001442","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,7]],"date-time":"2024-02-07T16:51:04Z","timestamp":1707324664000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219887806001442"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,9]]},"references-count":20,"journal-issue":{"issue":"05n06","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2006,9]]}},"alternative-id":["10.1142\/S0219887806001442"],"URL":"https:\/\/doi.org\/10.1142\/s0219887806001442","relation":{},"ISSN":["0219-8878","1793-6977"],"issn-type":[{"value":"0219-8878","type":"print"},{"value":"1793-6977","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,9]]}}}