Séminaire de Géométrie, Groupes et Dynamiques

Burkhard Wilking (WWU Münster) : Low dimensional torus actions on positively curved manifolds

We analyze the topology of fixed point components of an isometric 5-torus actions on a positively curved manifolds. As a consequence we can confirm the Hopf conjecture on the Euler characteristic of positively curved manifolds provided that the rank of the isometry group is at least 5.
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