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Björling problem for timelike surfaces in the Lorentz–Minkowski space

- R. Chaves, M. P. Dussan, M. Magid
- Mathematics, Physics
- 12 June 2009

Abstract We solve the Bjorling problem for timelike surfaces in the Lorentz–Minkowski space through a split-complex representation formula obtained for this kind of surface. Our approach uses the… Expand

The Björling problem for timelike surfaces in R24

- M. P. Dussan, M. Magid
- Mathematics
- 1 November 2013

Abstract We solve the Bjorling problem for timelike surfaces in R 2 4 constructing a special normal frame and a split-complex representation formula. We use this solution to construct new examples of… Expand

Time-Like Isothermic Surfaces Associated to Grassmannian Systems

- M. P. Dussan, M. Magid
- Mathematics
- 2005

We establish that, as is the case with space-like isother- mic surfaces, time-like isothermic surfaces in pseudo-riemannian space R n−j,j are associated to the O(n − j + 1, j + 1)/O(n − j, j) × O(1,… Expand

Restriction fragment length polymorphisms in the ribosomal gene spacers of Trypanosoma cruzi and Trypanosoma conorhini.

- P. Dietrich, M. P. Dussan, L. Floeter-Winter, M. H. Affonso, E. Camargo, M. Soares
- Biology, Medicine
- Molecular and biochemical parasitology
- 1 August 1990

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Manifolds with 2-nonnegative Ricci operator

- M. P. Dussan, M. Noronha
- Mathematics
- 1 June 2002

In this paper we study compact manifolds with 2-nonnegative Ricci operator, assuming that their Weyl operator satisfies certain conditions which generalize conformal flatness. As a consequence, we… Expand

Space-like isothermic surfaces and Grassmannian systems

- M. P. Dussan
- Mathematics
- 1 June 2006

We show that space-like isothennic surfaces in the pseudo-riemannian space Rn-i,i are associated to O(n j + 1,j + 1)/ O(n j,j) x 0(1, I)-system, and that the action of a rational map with two simple… Expand

Spacelike Surfaces in L4 with null mean curvature vector and the nonlinear Riccati partial differential equation

- M. P. Dussan, A. Filho, P. Simões
- Mathematics
- 1 June 2021

Abstract This paper introduces a complex Weierstrass representation for weakly conformal spacelike immersions in the Lorentz–Minkowski space L 4 involving holomorphic or anti-holomorphic functions.… Expand

Complex timelike isothermic surfaces and their geometric transformations.

- M. P. Dussan, M. Magid
- Mathematics
- 2006

We construct an explicit action of a rational map with two simple poles on the space of solutions of the O(n − j + 1, j + 1)/O(n − j, j) × O(1, 1)-system which is associated with time-like isothermic… Expand

The Björling problem for timelike minimal surfaces in $${\mathbb {R}}^{4}_{1}$$R14

- M. P. Dussan, A. Filho, M. Magid
- Mathematics
- 1 August 2017

In this paper, we extend and solve the Björling problem for timelike surfaces in the ambient space $${\mathbb {R}}^{4}_{1}$$R14. To do this, we define a Gauss map ideally suited to this setting using… Expand

Minimal surfaces in the product of two dimensional real space forms endowed with a neutral metric

- M. P. Dussan, Nikos Georgiou, M. Magid
- Mathematics
- 12 March 2016

We investigate minimal surfaces in products of two-spheres ${\mathbb S}^2_p\times {\mathbb S}^2_p$, with the neutral metric given by $(g,-g)$. Here ${\mathbb S}^2_p\subset {\mathbb R}^{p,3-p}$ , and… Expand

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