On a differential equation characterizing Euclidean spheres

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:194

Article

García-Río, E ; Kupeli, DN ; Ünal, B

关键词: second covariant differential;    Laplacian;    conformal vector field;    affine conformal vector field;    k-nullity vector field;    projective vector field;    Euclidean sphere;   

DOI  :  10.1016/S0022-0396(03)00173-6

来源: Elsevier

【 摘 要 】

A characterization of Euclidean spheres out of complete Riemannian manifolds is made by certain vector fields on complete Riemannian manifolds satisfying a partial differential equation on vector fields. (C) 2003 Elsevier Inc. All rights reserved.

【 授权许可】

Free