A new characterization of the Euclidean sphere

In this paper, we obtain a new characterization of the Euclidean sphere as a compact Riemannian manifold with constant scalar curvature carrying a nontrivial conformal vector field which is also conformal Ricci vector field.

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Bibliographische Detailangaben
Veröffentlicht in:	Anais da Academia Brasileira de Ciências 2018-07, Vol.90 (3), p.2663-2670
Hauptverfasser:	Barros, Abdênago A, Aquino, Cícero P, Gomes, José N V
Format:	Artikel
Sprache:	eng
Schlagworte:	Conformal vector field Einstein manifold Euclidean sphere MULTIDISCIPLINARY SCIENCES Scalar curvature
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Beschreibung
Zusammenfassung:	In this paper, we obtain a new characterization of the Euclidean sphere as a compact Riemannian manifold with constant scalar curvature carrying a nontrivial conformal vector field which is also conformal Ricci vector field.
ISSN:	0001-3765 1678-2690 1678-2690
DOI:	10.1590/0001-3765201820170689