descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1993Publisher:Mathematical Institute, Tohoku UniversityJournal:Tohoku Mathematical Journal, volume 45 (issn: 0040-8735,

Authors: Dajczer, Marcos; Tojeiro, Ruy;

doi: 10.2748/tmj/1178225953

Submanifolds of constant sectional curvature with parallel or constant mean curvature

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Abstract

We classify isometric immersions with flat normal bundle between spaces of constant sectional curvature if either the mean curvature is parallel or if the manifolds are complete Euclidean spaces and the mean curvature is of constant length.

Related Organizations

Instituto Nacional de Matemática Pura e Aplicada
Brazil
Federal University of Uberlândia
Brazil
Ministry of Science and Technology
Brazil

Keywords

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Local submanifolds, mean curvature, 53C40, isometric immersions, flat normal bundle

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