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The index of biharmonic maps in spheres

Published online by Cambridge University Press:  21 April 2005

E. Loubeau  and
C. Oniciuc
E. Loubeau
Affiliation:
Département de Mathématiques, Laboratoire CNRS UMR 6205, Université de Bretagne Occidentale, 6 avenue Victor Le Gorgeu, CS 93837, 29238 Brest cedex 3, Franceloubeau@univ-brest.fr
C. Oniciuc
Affiliation:
Faculty of Mathematics, Al. I. Cuza University of Iaşi, Bd. Copou Nr. 11, 6600 Iaşi, Romaniaoniciucc@uaic.ro Département de Mathématiques, Laboratoire CNRS UMR 6205, Université de Bretagne Occidentale, 6 avenue Victor Le Gorgeu, CS 93837, 29238 Brest cedex 3, France
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Abstract

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Biharmonic maps are the critical points of the bienergy functional and generalise harmonic maps. We investigate the index of a class of biharmonic maps derived from minimal Riemannian immersions into spheres. This study is motivated by three families of examples: the totally geodesic inclusion of spheres, the Veronese map and the Clifford torus.

Keywords

biharmonic mapsstability58E2053C42
Type
Research Article
Information
Compositio Mathematica , Volume 141 , Issue 3 , May 2005 , pp. 729 - 745
Copyright
Foundation Compositio Mathematica 2005