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- ANDRÉ NEVES
- 2013

In 1965, T. J. Willmore conjectured that the integral of the square of the mean curvature of a torus immersed in R 3 is at least 2π 2. We prove this conjecture using the min-max theory of minimal surfaces.

- ANDRÉ NEVES, Jingyi Chen, Jiayu Li
- 2008

We study singularities of Lagrangian mean curvature flow in C n when the initial condition is a zero-Maslov class Lagrangian. We start by showing that, in this setting, singularities are unavoidable. More precisely, we construct Lagrangians with arbitrarily small Lagrangian angle and Lagrangians which are Hamiltonian isotopic to a plane that, nevertheless,… (More)

- ANDRÉ NEVES
- 2008

We study the formation of singularities for the mean curvature flow of monotone Lagrangians in C n. More precisely, we show that if singularities happen before a critical time then the tangent flow can be decomposed into a finite union of area-minimizing Lagrangian cones (Slag cones). When n = 2, we can improve this result by showing that connected… (More)

- ANDRÉ NEVES
- 2008

We construct a solution to inverse mean curvature flow on an asymptotically hyperbolic 3-manifold which does not have the convergence properties needed in order to prove a Penrose–type inequality. This contrasts sharply with the asymptotically flat case. The main idea consists in combining inverse mean curvature flow with work done by Shi–Tam regarding… (More)

This work presents the Persona-AIML architecture for the creation of chatterbots in AIML (Artificial Intelligence Markup Language) with personality. It is a flexible architecture that allows the use of different models of personality in the construction of chatterbots. Tests with the prototype revealed satisfactory and very encouraging results.

- Adjamir M. Galvão, Flávia de Almeida Barros, André M. M. Neves, Geber Ramalho
- IBERAMIA
- 2004

- ANDRÉ NEVES, GANG TIAN
- 2006

We prove existence and uniqueness of foliations by stable spheres with constant mean curvature for 3-manifolds which are asymp-totic to Anti-de Sitter-Schwarzschild metrics with positive mass. These metrics arise naturally as spacelike timeslices for solutions of the Ein-stein equation with a negative cosmological constant.

This work presents the Persona-AIML architecture for the creation of chatterbots in AIML (Artificial Intelligence Markup Language) with personality. It is a flexible architecture that allows the use of different models of personality in the construction of chatterbots. Tests with the prototype revealed satisfactory and very encouraging results.

- André M. M. Neves, Flávia de Almeida Barros, C. Hodges
- 2006 18th IEEE International Conference on Tools…
- 2006

This paper presents iAIML, a mechanism to treat intentional information based on AIML, a state-of-the-art technology in chatterbot development. Our main goal was to improve dialogues with AIML chatterbots. iAIML adds structure to AIML bases, incorporating intentions and rules used in sentence interpretation and generation. We adopted as linguistic base the… (More)

- ANDRÉ NEVES, GANG TIAN
- 2007

In a previous paper, the authors showed that metrics which are asymptotic to Anti-de Sitter-Schwarzschild metrics with positive mass admit a unique foliation by stable spheres with constant mean curvature. In this paper we extend that result to all asymptotically hy-perbolic metrics for which the trace of the mass term is positive. We do this by combining… (More)