The energy density of biharmonic quadratic maps between spheres

被引：0
|
作者：
Ambrosie, Rares [1 ]
Oniciuc, Cezar [1 ]
机构：
[1] Alexandru Ioan Cuza Univ, Fac Math, Blvd Carol I 11, Iasi 700506, Romania
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2024年 / 93卷
关键词：
Biharmonic maps; Spherical maps; Homogeneous polynomial maps; CONSTANT CURVATURE; MINIMAL-SURFACES;
D O I：
10.1016/j.difgeo.2023.102096
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first prove that a quadratic form from Sm to Sn is non-harmonic biharmonic if and only if it has constant energy density (m + 1)/2. Then, we give a positive answer to an open problem raised in [1] concerning the structure of non-harmonic biharmonic quadratic forms. As a direct application, using classification results for harmonic quadratic forms, we infer classification results for non-harmonic biharmonic quadratic forms. (c) 2023 Elsevier B.V. All rights reserved.
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