Submanifolds with nonpositive extrinsic curvature

Date/heure
30 juin 2015
14:00 - 15:00

Oratrice ou orateur
Guilherme Machado de Freitas

Catégorie d'évènement
Séminaire de géométrie différentielle


Résumé

We prove that complete submanifolds, on which the Omori-Yau weak maximum principle for the Hessian holds, with low codimension and bounded by cylinders of small radius must have points rich in large positive extrinsic curvature. The lower the codimension is, the richer such points are. The smaller the radius is, the larger such curvatures are. This work unifies and generalizes several previous results on submanifolds with nonpositive extrinsic curvature. Joint work with S. Canevari and F. Manfio.