312 citations
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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
The Codazzi Equation for Surfaces
Juan A. Aledo, José M. Espinar, José A. Gálvez
In this paper we develop an abstract theory for the Codazzi equation on surfaces, and use it as an analytic tool to derive new global results for surfaces in the space forms ${\bb…
math.DG2005★ 5 cited
Marginally trapped surfaces in L4 and an extended Weierstrass-Bryant representation
Juan A. Aledo, Jose A. Galvez, Pablo Mira
We give a conformal representation in terms of meromorphic data for a certain class of spacelike surfaces in the Lorentz-Minkowski 4-space L^4 whose mean curvature vector is either…