arXiv:math/0303160 Abstract

arXiv:math/0303160 [math.DG]Abstract References Reviews Resources

The index of biharmonic maps in spheres

Published 2003-03-13Version 1

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.

Comments: 21 pages

Categories: math.DG

Subjects: 58E20, 53C42

Keywords: biharmonic maps, minimal riemannian immersions, generalise harmonic maps, bienergy functional, totally geodesic inclusion

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