Some results related to the Laplacian on vector fields

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Abstract

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.

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Laplacian, conformal vector field, geodesic vector field, eigenvalue equation, Einstein Riemannian manifold, Euclidean sphere

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Volume

69

Issue

1-2

Start Page

137

End Page

154

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SCOPUS™ Citations

4

checked on May 29, 2026

Web of Science™ Citations

6

checked on May 29, 2026

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