6 citations · 12 across the 15 of their papers we have counts for
5 papers · 1 filter
Examples of scalar-flat hypersurfaces in
Jorge H. S. de Lira, Marc Soret
Given a hypersurface of null scalar curvature in the unit sphere , , such that its second fundamental form has rank greater than 2, we construct a singula…
Conformal Killing graphs with prescribed mean curvature
Marcos Dajczer, Jorge H. S. de Lira
We prove the existence and uniqueness of graphs with prescribed mean curvature function in a large class of Riemannian manifolds which comprises spaces endowed with a conformal Kil…
Existence of isometric immersions into nilpotent Lie groups
J. H. de Lira, M. Melo
We establish necessary and sufficient conditions for existence of isometric immersions of a simply connected Riemannian manifold into a two-step nilpotent Lie group. This comprises…
Closed Weingarten hypersurfaces in warped product manifolds
F. Andrade, J. L. Barbosa, J. H. de Lira
Given a compact Riemannian manifold , we consider a warped product where is an open interval in $\Rr$. We suppose that the mean curvature of the fibe…
Helicoidal graphs with prescribed mean curvature
M. Dajczer, J. H. de Lira
We prove an existence result for helicoidal graphs with prescribed mean curvature in a large class of warped product spaces which comprises space forms.