A smooth mixing flow on a surface with nondegenerate fixed points

Chaika, Jon¹ ; Wright, Alex^2, 3

¹ Department of Mathematics, University of Utah, 155 S 1400 E, Room 233, Salt Lake City, Utah 84112
² Department of Mathematics, Stanford University, Palo Alto, California 94305
³ University of Michigan, Department of Mathematics, 2074 East Hall, 530 Church Street, Ann Arbor, Michigan 48109-1043

Journal of the American Mathematical Society, Tome 32 (2019) no. 1, pp. 81-117

Résumé

We construct a smooth, area preserving, mixing flow with finitely many nondegenerate fixed points and no saddle connections on a closed surface of genus $5$. This resolves a problem that has been open for four decades.

Détail

DOI : 10.1090/jams/911

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