The Mean Curvature of the Second Fundamental Form of a hypersurface

dc.creatorHaesen, Stefan
dc.creatorVerpoort, Steven
dc.date2007-09-13
dc.date2009-04-28
dc.date.accessioned2026-07-07T13:08:34Z
dc.date.available2026-07-07T13:08:34Z
dc.descriptionAn expression for the first variation of the area functional of the second fundamental form is given for a hypersurface in a semi-Riemannian space. The concept of the "mean curvature of the second fundamental form" is then introduced. Some characterisations of extrinsic hyperspheres in terms of this curvature are given.
dc.description25 pages; 2 figures. As compared to previous versions only minor corrections have been made. A shorter version of this article is accepted for publication in Beiträge zur Algebra und Geometrie
dc.identifierhttps://arxiv.org/abs/0709.2107
dc.identifierhttp://arxiv.org/abs/0709.2107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228457
dc.subjectDifferential Geometry
dc.subject53A10, 53B25, 53C42
dc.titleThe Mean Curvature of the Second Fundamental Form of a hypersurface
dc.typetext

Files

Collections