The index of biharmonic maps in spheres
Differential Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0303160,
title = {The index of biharmonic maps in spheres},
author = {E. Loubeau and C. Oniciuc},
journal= {arXiv preprint arXiv:math/0303160},
year = {2007}
}
Comments
21 pages