Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895764 | Journal of Geometry and Physics | 2014 | 11 Pages |
Abstract
Motivated by the rich theory of harmonic maps from a 2-sphere, we study biharmonic maps from a 2-sphere in this paper. We first derive biharmonic equation for rotationally symmetric maps between rotationally symmetric 2-manifolds. We then apply the equation to obtain a classification of biharmonic maps in a family of rotationally symmetric maps between 2-spheres. We also find many examples of proper biharmonic maps defined locally on a 2-sphere. Our results seem to suggest that any biharmonic map S2⟶(Nn,h)S2⟶(Nn,h) is a weakly conformal immersion.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Ze-Ping Wang, Ye-Lin Ou, Han-Chun Yang,