90 citations · 328 across the 25 of their papers we have counts for
7 papers · 2 filters
Hypersurfaces in space forms satisfying the condition
Luis J. Alias, S. M. B. Kashani
We study hypersurfaces either in the sphere \s{n+1} or in the hyperbolic space \h{n+1} whose position vector satisfies the condition , where is the linearized…
A Hilbert-type theorem for spacelike surfaces with constant Gaussian curvature in
Alma L. Albujer, Luis J. Alias
There are examples of complete spacelike surfaces in the Lorentzian product with constant Gaussian curvature . In this paper, we show tha…
An estimate for the sectional curvature of cylindrically bounded submanifolds
Luis J. Alias, G. Pacelli Bessa, J. Fabio Montenegro
We give sharp sectional curvature estimates for complete immersed cylindrically bounded -submanifolds , provided that either $…
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…
Bifurcation of constant mean curvature tori in Euclidean spheres
Luis J. Alias, Paolo Piccione
We use bifurcation theory to show the existence of infinite sequences isometric embeddings of tori with constant mean curvature (CMC) in Euclidean spheres that are not isometricall…
A local estimate for maximal surfaces in Lorentzian product spaces
Alma L. Albujer, Luis J. Alias
In this paper we introduce a local approach for the study of maximal surfaces immersed into a Lorentzian product space of the form , where is a connected Riema…