Some results related to the Laplacian on vector fields

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Some_results_related_to_the_Laplacian_on_vector_fields.pdf (789.56 KB)

Date

2006

Authors

Erkekoğlu, Fazilet
Kupeli, D. N.
Unal, B.

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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.

Source Title

 Publicationes Mathematicae Debrecen

Publisher

Institute of Mathematics, University of Debrecen, Hungary.

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Keywords

Laplacian, Conformal vector field, Geodesic vector field, Eigenvalue equation, Einstein Riemannian manifold, Euclidean sphere

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http://hdl.handle.net/11693/49516

Published Version (Please cite this version)

Collections

Scholarly Publications - Mathematics

Language

English

Type

Article