On a differential equation characterizing Euclidean spheres

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.

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Bibliographic Details
Published inJournal of Differential Equations Vol. 194; no. 2; pp. 287 - 299
Main Authors García-Río, Eduardo, Kupeli, Demir N., Ünal, Bülent
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.11.2003
Subjects
Affine conformal vector field
Conformal vector field
Euclidean sphere
k-Nullity vector field
Laplacian
Projective vector field
Second covariant differential
k-Nullity vector field
Projective vector field
Euclidean sphere
58J99
Conformal vector field
Affine conformal vector field
53C99
Second covariant differential
Laplacian
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Summary: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.
ISSN:0022-0396
1090-2732
DOI:10.1016/S0022-0396(03)00173-6