The index of biharmonic maps in spheres

Details The index of biharmonic maps in spheres The index of biharmonic maps in spheres

2003-03-13

arxiv.org/abs/math/0303160v1

Mathematics

Differential Geometry

21 pages

Scientific paper

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.

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