The index of biharmonic maps in spheres

2003/03/13 by E. Loubeau, Loubeau, E., Cezar Oniciuc +2
Computer Science · Mathematics · #53C42 #58E20 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis #math.DG #msc:53C42 #msc:58E20

paper · pdf · doi:10.48550/arxiv.math/0303160

21 pages

arxiv created 2003/03/13 · openalex publication_date 2003/03/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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