Biharmonic maps from biconformal transformations with respect to isoparametric functions

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• 作者：P. Baird ; ^{Paul.Baird@univ-brest.fr} ; A. Fardoun ; S. Ouakkas
• 关键词：53A30 ; 31B30 ; 53A10
• 刊名：Differential Geometry and its Applications
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：50
• 期：Complete
• 页码：155-166
• 全文大小：335 K
• 卷排序：50

文摘

By exploiting biconformal transformations of the metric we construct biharmonic functions and mappings from Riemannian manifolds. Isoparametric functions, characterized by the property that their level sets are parallel and of constant mean curvature, play an important role in the construction of examples. We extend our method to include triconformal deformations of the metrics with respect to the Hopf map from R4R4 to R3R3, which, in addition to a biconformal deformation of the domain, incorporates a conformal deformation of the codomain.