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Advances in Geometry

Managing Editor: Grundhöfer, Theo / Joswig, Michael

Editorial Board: Bamberg, John / Bannai, Eiichi / Cavalieri, Renzo / Coskun, Izzet / Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Leistner, Thomas / Löwen, Rainer / Ono, Kaoru / Ratcliffe, John G. / Scharlau, Rudolf / Scheiderer, Claus / Van Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard

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Volume 14, Issue 3

Issues

Rotational linear Weingarten hypersurfaces in the Euclidean sphere Sn+1

A. Barros / J. Silva / P. Sousa
Published Online: 2014-07-08 | DOI: https://doi.org/10.1515/advgeom-2014-0011

Abstract

We present a complete description of all rotational linear Weingarten hypersurfaces in the Euclidean sphere Sn+1. These hypersurfaces are characterized by a linear relation aH1+bH2 = c, where H1 and H2 stand for the first two symmetric functions of the principal curvature and a, b and c are real constants.

Keywords: Rotational hypersurfaces; linear Weingarten hypersurfaces

About the article

Published Online: 2014-07-08

Published in Print: 2014-07-01


Citation Information: Advances in Geometry, Volume 14, Issue 3, Pages 499–512, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: https://doi.org/10.1515/advgeom-2014-0011.

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