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Exemples de courbes pseudo-holomorphes en géométrie riemannienne

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Holomorphic Curves in Symplectic Geometry

Part of the book series: Progress in Mathematics ((PM,volume 117))

Résumé

Rappelons qu’une structure presque complexe sur une variété est la donnée d’un champ d’endomorphismes de carré —1 du fibré tangent. Une application pseudo- holomorphe entre deux variétés presque complexes est une application dont la différentielle commute avec les structures complexes. Enfin une courbe pseudo-holomor- phe dans une variété presque complexe est une surface réelle dont le plan tangent est stable par rapport à la structure complexe (voir les chapitres précédents et notamment II et III).

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Labourie, F. (1994). Exemples de courbes pseudo-holomorphes en géométrie riemannienne. In: Audin, M., Lafontaine, J. (eds) Holomorphic Curves in Symplectic Geometry. Progress in Mathematics, vol 117. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8508-9_10

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  • DOI: https://doi.org/10.1007/978-3-0348-8508-9_10

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9656-6

  • Online ISBN: 978-3-0348-8508-9

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