Some results related to the Laplacian on vector fields
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Date
2006
Journal Title
Journal ISSN
Volume Title
Publisher
Kossuth Lajos Tudomanyegyetem
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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.
Description
Keywords
Laplacian, conformal vector field, geodesic vector field, eigenvalue equation, Einstein Riemannian manifold, Euclidean sphere
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Citation
WoS Q
Q3
Scopus Q
Q3
Source
Publicationes Mathematicae Debrecen
Volume
69
Issue
1-2
Start Page
137
End Page
154