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Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC)
(Institutional affiliation for the last research proposal)

Birthplace:
Brazil

graduate at Licenciatura em Matemática from Universidade Estadual Paulista Júlio de Mesquita Filho (1994), master's at Matemática São Carlos from Universidade de São Paulo (1997) and ph.d. at Matemática São Carlos from Universidade de São Paulo (2000). Has experience in Mathematics, acting on the following subjects: singularidades, superfícies, indice, geometria and transversal completa. (Source: Lattes Curriculum)

Research grants

- Geometry of manifolds in the euclidian space and in the Minkowski space, AP.R
### Abstract

The Minkowski space $\mathbb{R}_1^{n}$ is the vector space Rn with the pseudo-scalar productu.u=-u_1v_1+...+u_nv_n$, for any u=(u_1,...,u_n) and v =(v_1,..., v_n) inR_1^{n}. A non zero vector u em R^n_1 is spacelike if u.u>0$, lightlike ifu.u=0$ and timelike if u.u<0. These spaces are used in Physics, for example, in relativity theory R14 is a model for space and time. The induced metri...

- Geometry in Minkowski space, AP.R
### Abstract

The Minkowski space R_1^n is the vector space R^n with the pseudo-scalar product<u, v> =-u_1v_1+...+u_nv_n, for any u=(u_1,...,u_n) and v =(v_1,..., v_n) inR_1^n. A non zero vector u in R_1^n is spacelike if <u, v>0$, lightlike if<u, v> =0 and timelike if <u, v> <0. These spaces are used in Physics, for example, in relativity theory R_1^4 is a model for space and time. The induced metri...

- Farid Tari | university Durham - Inglaterra, AV.EXT
### Abstract

The principal parts of the program of the visit are summarized as follows. Collaboration in the following projects: I. Principal and characteristics curves on surfaces in R^5, with M. A. S. Ruas; II. Families of surfaces and reflected conjugate curve, with A. C. Nabarro; III. Finite determinacy of Binary differential equations, with R. D. S. Oliveira; IV. Tangent vector fields on foliat...

Scholarships in Brazil

- Topics in singularity theory, BP.IC
### Abstract

This project aims to introduce some important topics of Singularity Theory to complement the student's knowledge, using as a book the classic text: "Curves and Singularities", by J.W.Bruce and P.J.Giblin. In this project we will study discriminants, unfoldings and applications, as well as some of the theory needed to classify functions of various variables, consequences and examples. Th...

- Basic Mathematics for Aeronautical Engineering, BP.IC
### Abstract

We identified the following topics to complete and strengthen the student of Engineering George Lucas Souto Torres. We believe that the topics will give him enough tools to become an innovative engineer.1. Functions of complex variables; 2. Advanced Linear Algebra; 3. Ordinary differential equations (ODE); 4. Partial differential equations (PDE); 5. Applications in Aerospace Engineering...

- Curves in Minkowski space, BP.DR
### Abstract

The problems for the thesis are part of a larger project that study the geometry of submanifolds in Minkowski space by using singularity theory. For her thesis, Andrea will study the geometry of curves in 3-Minkowski space. It may happen that the normal vector and binormal vector of the curve are lightlike, as can also happen that the normal plane or osculating plane is lightlike at som...

Scholarships abroad

4 /
3
| Completed research grants |

1 /
1
| Ongoing scholarships in Brazil |

7 /
2
| Completed scholarships in Brazil |

2 /
2
| Completed scholarships abroad |

14 /
8
| All research grants and scholarships |

Associated processes |

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

Publications | 5 |

Citations | 2 |

Cit./Article | 0.4 |

Data from Web of Science |

IZUMIYA, SHYUICHI; NABARRO, ANA CLAUDIA; SACRAMENTO, ANDREA DE JESUS. HOROSPHERICAL AND HYPERBOLIC DUAL SURFACES OF SPACELIKE CURVES IN DE SITTER SPACE.** JOURNAL OF SINGULARITIES**, v. 16, p. 180-193, DEC 2017. Web of Science Citations: 0.

IZUMIYA, SHYUICHI; NABARRO, ANA CLAUDIA; SACRAMENTO, ANDREA DE JESUS. Pseudo-spherical normal Darboux images of curves on a timelike surface in three dimensional Lorentz-Minkowski space.** JOURNAL OF GEOMETRY AND PHYSICS**, v. 97, p. 105-118, NOV 2015. Web of Science Citations: 2.

KASEDOU, MASAKI; NABARRO, ANA CLAUDIA; SOARES RUAS, MARIA APARECIDA. SECOND ORDER GEOMETRY OF SPACELIKE SURFACES IN DE SITTER 5-SPACE.** PUBLICACIONS MATEMATIQUES**, v. 59, n. 2, p. 449-477, 2015. Web of Science Citations: 0.

NABARRO, ANA CLAUDIA; SALOOM, AMANI. On the Singularities of Families of Curve Congruences on Lorentzian Surfaces.** JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS**, v. 22, n. 3, p. 507-530, JUL 2016. Web of Science Citations: 0.

NABARRO, ANA CLAUDIA; SACRAMENTO, ANDREA DE JESUS. Focal set of curves in the Minkowski space near lightlike points.** PUBLICATIONES MATHEMATICAE-DEBRECEN**, v. 88, n. 3-4, p. 487-510, 2016. Web of Science Citations: 0.

(References retrieved automatically from State of São Paulo Research Institutions)

NABARRO, Ana Claudia. Equações Diferenciais Binárias e Geometria Diferencial. 1997. Dissertação (Mestrado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos.

NABARRO, Ana Claudia. Sobre a geometria local de hipersuperfícies em R4. 2000. Tese (Doutorado) – Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos.

SACRAMENTO, Andrea de Jesus. Curvas no espaço de Minkowski. 2015. Tese (Doutorado) – Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos.

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