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Anais da Academia Brasileira de Ciências

Print version ISSN 0001-3765On-line version ISSN 1678-2690

Abstract

BARROS, ABDÊNAGO A.; AQUINO, CÍCERO P.  and  GOMES, JOSÉ N.V.. A new characterization of the Euclidean sphere. An. Acad. Bras. Ciênc. [online]. 2018, vol.90, n.3, pp.2663-2670. ISSN 0001-3765.  https://doi.org/10.1590/0001-3765201820170689.

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.

Keywords : Conformal vector field; Scalar curvature; Euclidean sphere; Einstein manifold.

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