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Dive into the research topics where A. Caminha is active.

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Featured researches published by A. Caminha.


Proceedings of the American Mathematical Society | 2011

Bernstein-type theorems in semi-Riemannian warped products

F. Camargo; A. Caminha; H.F. de Lima

This paper deals with complete hypersurfaces immersed in the (n + 1)-dimensional hyperbolic and steady state spaces. By applying a technique of S. T. Yau and imposing suitable conditions on both the r-th mean curvatures and on the norm of the gradient of the height function, we obtain Bernstein-type results in each of these ambient spaces.


Journal of Geometry and Physics | 2010

On the r-stability of spacelike hypersurfaces

F. Camargo; A. Caminha; M. da Silva; H.F. de Lima

Abstract In this paper we study the strong stability of spacelike hypersurfaces with constant r -th mean curvature in Robertson–Walker spacetimes. In particular, we treat the case in which the ambient spacetime is the de Sitter space.


arXiv: Differential Geometry | 2011

The geometry of closed conformal vector fields on Riemannian spaces

A. Caminha


Bulletin of The Belgian Mathematical Society-simon Stevin | 2009

COMPLETE VERTICAL GRAPHS WITH CONSTANT MEAN CURVATURE IN SEMI-RIEMANNIAN WARPED PRODUCTS

A. Caminha; H. F. De Lima


General Relativity and Gravitation | 2009

Complete spacelike hypersurfaces in conformally stationary Lorentz manifolds

A. Caminha; Henrique F. de Lima


Kodai Mathematical Journal | 2006

On hypersurfaces into Riemannian spaces of constant sectional curvature

A. Caminha


Mathematical Proceedings of the Cambridge Philosophical Society | 2012

Generalized maximum principles and the rigidity of complete spacelike hypersurfaces

Fernanda Camargo; A. Caminha; Henrique F. de Lima; Ulisses L. Parente


Acta Mathematica Hungarica | 2012

On the geometry of conformally stationary Lorentz spaces

F. Camargo; A. Caminha; H.F. de Lima; M. Velasquez


Kodai Mathematical Journal | 2011

r-stable spacelike hypersurfaces in conformally stationary spacetimes

Fernanda Camargo; A. Caminha; Henrique F. de Lima; Marco Antonio L. Velásquez


arXiv: Differential Geometry | 2014

On the stability of minimal cones in warped products

K. S. Bezerra; A. Caminha; B. P. Lima

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Fernanda Camargo

Federal University of Ceará

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Henrique F. de Lima

Federal University of Campina Grande

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F. Camargo

Federal University of Campina Grande

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H.F. de Lima

Federal University of Campina Grande

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Marco Antonio L. Velásquez

Federal University of Campina Grande

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M. Velasquez

Federal University of Ceará

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M. da Silva

Universidade Federal do ABC

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