44 citations · 60 across the 14 of their papers we have counts for
14 papers
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 impossibility of constructing a triangle given its internal bisectors
Antonio Caminha, Alberto Maia
We give a simple proof to the fact that it is impossible to use straightedge and compass to construct a triangle given the lengths of its internal bisectors, even if the triangle i…
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…