A new characterization of the Euclidean sphere.

An Acad Bras Cienc

Departamento de Matemática, Universidade Federal do Amazonas, Av. General Rodrigo Octávio, 6200, 69080-900 Manaus, AM, Brazil.

Published: March 2020

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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Source
http://dx.doi.org/10.1590/0001-3765201820170689DOI Listing

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