Submanifolds with nonpositive extrinsic curvature

Autor(es)

Canevari, Samuel ; de Freitas, Guilherme Machado ; Manfio, Fernando

• Tipo de documento: Artigo Científico
• Fonte: Annali di Matematica Pura ed Applicata; v. 196, n. 2, p. 407-426, APR 2017.
• Citações Web of Science: 0

Resumo

We prove that complete submanifolds, on which the weak Omori-Yau 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. (AU)

• Processo FAPESP: 14/01989-9 - Superfícies de Willmore generalizadas
• Beneficiário: Fernando Manfio
• Modalidade de apoio: Bolsas no Exterior - Pesquisa