Curvature properties of some class of minimal hypersurfaces in Euclidean spaces-Reference-Cited by-同舟云学术

Curvature properties of some class of minimal hypersurfaces in Euclidean spaces

Published:2015 Issue:3 Volume:29 Page:479-492
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Deszcz Ryszard¹,Głogowska Małgorzata¹,Petrovic-Torgasev Miroslava²,Verstraelen Leopold³

Affiliation:

1. Wrocław University of Environmental and Life Sciences, Department of Mathematics, Wrocław, Poland

2. Faculty of Science, Department of Mathematics, Kragujevac

3. Katholieke Universiteit Leuven, Faculteit Wetenschappen, Departement Wiskunde, Heverlee, Belgium

Abstract

We determine curvature properties of pseudosymmetry type of some class of minimal 2-quasiumbilical hypersurfaces in Euclidean spaces En+1, n ? 4. We present examples of such hypersurfaces. The obtained results are used to determine curvature properties of biharmonic hypersurfaces with three distinct principal curvatures in E5. Those hypersurfaces were recently investigated by Y. Fu in [38].

Publisher

National Library of Serbia

Subject

General Mathematics

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