378 citations
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Showing 2009 · math.DGShow all
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math.DG2009★ 1 cited
On the scalar curvature of hypersurfaces in spaces with a Killing field
Alma L. Albujer, Juan A. Aledo, Luis J. Alias
We consider compact hypersurfaces in an -dimensional either Riemannian or Lorentzian space endowed with a conformal Killing vector field. For such hypersurfaces, w…
math.DG2009★ 1 cited
On the scalar curvature of constant mean curvature hypersurfaces in space forms
Luis J. Alias, S. Carolina Garcia-Martinez
In this paper we study the behavior of the scalar curvature of a complete hypersurface immersed with constant mean curvature into a Riemannian space form of constant curvature,…