Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-26T08:09:17.159Z Has data issue: false hasContentIssue false
  • English
  • Français

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, [email protected]
C. Oniciuc
Affiliation:
Faculty of Mathematics, Al. I. Cuza University of Iaşi, Bd. Copou Nr. 11, 6600 Iaşi, [email protected] Département de Mathématiques, Laboratoire CNRS UMR 6205, Université de Bretagne Occidentale, 6 avenue Victor Le Gorgeu, CS 93837, 29238 Brest cedex 3, France
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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