56 citations · 141 across the 19 of their papers we have counts for
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math.DG2011★ 48 cited
Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes
Luis J. Alias, Debora Impera, Marco Rigoli
In this paper we analyze the problem of uniqueness for spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson-Walker spacetimes. We consider fir…
math.DG2011★ 2 cited
Hypersurfaces of constant higher order mean curvature in warped products
Luis J. Alias, Debora Impera, Marco Rigoli
In this paper we characterize compact and complete hypersurfaces with some constant higher order mean curvature into warped product spaces. Our approach is based on the use of a ne…
math.DG2011★ 7 cited
Comparison Theorems in Lorentzian Geometry and applications to spacelike hypersurfaces
Debora Impera
In this paper we prove Hessian and Laplacian comparison theorems for the Lorentzian distance function in a spacetime with sectional (or Ricci) curvature bounded by a certain functi…