One-cycle sweepout estimates of essential surfaces in closed Riemannian manifolds.

Orateur

SABOURAU, Stéphane

Résumé

We present new-curvature one-cycle sweepout estimates in Riemannian geometry, both on surfaces and in higher dimension. More precisely, we derive upper bounds on the length of one-parameter families of one-cycles sweeping out essential surfaces in closed Riemannian manifolds.