Some results related to the Laplacian on vector fields
Publicationes Mathematicae Debrecen
Institute of Mathematics, University of Debrecen, Hungary.
137 - 154
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A characterization of Euclidean spheres out of connected, compact, Einstein Riemannian manifolds of constant scalar curvature is made by a characterization of a vector field with an eigenvalue equation for the Laplacian on vector fields.
Conformal vector field
Geodesic vector field
Einstein Riemannian manifold