Vol. 236, No. 2, 2008
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New examples of Wr-minimal hypersurfaces in a sphere

Guoxin Wei
Vol. 236 (2008), No. 2, 373–388
DOI: 10.2140/pjm.2008.236.373
Abstract

A hypersurface x : Mn → Sn+1(1) is called a Wr-minimal hypersurface if it is a critical hypersurface of the Generalized Willmore functional. In this paper, we give some new nontrivial examples of Wr-minimal hypersurfaces of Sn+1(1).
Keywords
Wr-minimal hypersurface, Willmore hypersurface, rotational hypersurface
Mathematical Subject Classification 2000
Primary: 53A30
Secondary: 53C20
Milestones
Received: 8 November 2007
Accepted: 10 March 2008
Published: 1 June 2008
Authors
Guoxin Wei
Department of Mathematics
Faculty of Science and Engineering
Saga University
840-8502, Saga
Japan