44 citations · 60 across the 14 of their papers we have counts for
13 papers · 1 filter
A maximum principle related to volume growth and applications
Luis J. Alias, Antonio Caminha, F. Yure do Nascimento
In this paper, we derive a new form of maximum principle for smooth functions on a complete noncompact Riemannian manifold for which there exists a bounded vector field suc…
On the structure of complete kählerian manifolds furnished with closed conformal vector fields
Antonio Caminha
We show that if a connected compact kählerian surface with nonpositive gaussian curvature is furnished with a closed conformal vector field whose singular points are isolat…
On the stability of minimal cones in warped products
K. S. Bezerra, A. Caminha, B. P. Lima
In a seminal paper published in , J. Simons proved that, for , the Euclidean (minimal) cone , built on a closed, oriented, minimal and non totally geodesic hyper…
CMC hypersurfaces of semi-Riemannian groups
Antonio Caminha
In this paper, we study the geometry of a connected oriented cmc Riemannian hypersurface of a semi-Riemannian group of Lie algebra and index 0 or 1. If is…
On the Geometry of Conformally Stationary Lorentz Spaces
F. Camargo, A. Caminha, H. de Lima +1
In this paper we study several aspects of the geometry of conformally stationary Lorentz manifolds, and particularly of GRW spaces, due to the presence of a closed conformal vector…
-Stable Hypersurfaces in Conformally Stationary Spacetimes
F. Camargo, A. Caminha, H. de Lima +1
In this paper we study the r-stability of closed spacelike hypersurfaces with constant -th mean curvature in conformally stationary spacetimes of constant sectional curvature. I…