6 citations · 6 across the 5 of their papers we have counts for
6 papers · 1 filter
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.
Killing graphs with prescribed mean curvature and Riemannian submersions
Marcos Dajczer, Jorge H. de Lira
It is proved the existence and uniqueness of graphs with prescribed mean curvature in Riemannian submersions fibered by flow lines of a vertical Killing vector field.
Uniqueness of starshaped compact hypersurfaces with prescribed -th mean curvature in hyperbolic space
J. Lucas M. Barbosa, Jorge H. S. de Lira, Vladimir Oliker
Let be a given function defined on a Riemannian space. Under what conditions does there exist a compact starshaped hypersurface for which , when evaluated on , coinci…
Killing graphs with prescribed mean curvature
Marcos Dajczer, Pedro A. Hinojosa, Jorge Herbert de Lira
It is proved the existence and uniqueness of Killing graphs with prescribed mean curvature in a large class of Riemannian manifolds.