La difficulté de lapremì ere partie de ce théorème est qu'on peut facilement intégrer une forme différentielle dont le support est inclus dans un compact de W u (a) mais qu'il n'est pas du tout clair qu'on puisse intégrer une forme différentielle dont le support intersecte ?W u (a) := W u (a) ? W u (a) Pour justifier ce point, il fautétudierfautétudier demanì ere précise la structure du " bord " de W u (a) Laudenbach démontre que W u (a) est une sous-variétévariétéà singularités coniques et qu'on peut en particulier en faire un courant d'intégration au sens de De Rham, Le résultat d'Harvey et Lawson peutêtrepeutêtre vu comme un analogue du résultat d'Anosov (6.6). Observons deux choses remarquables au sujet de ce résultat ,
Nous verrons comment interpréter ce théorème demanì ere spectrale et d'une certainemanì ere le préciser en adoptant le point de vue des paragraphes précédents. Avant d'´ enoncer nos résultats avec Nguyen Viet Dang, nous devons introduire deux définitions supplémentaires. Tout d'abord, pour tout a dans Crit(f ), [1] R. Abraham and J.E. Marsden. Foundations of mechanics, With the assistance of Tudor Rat¸iuRat¸iu and Richard Cushman, 1978. ,
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