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Björling problem for timelike surfaces in the Lorentz–Minkowski space
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 theExpand
The Björling problem for timelike surfaces in R24
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 ofExpand
Time-Like Isothermic Surfaces Associated to Grassmannian Systems
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.
TLDR
It is shown that strains of T. cruzi can be typed according to the characteristic restriction fragment length polymorphism of their NTS DNAs. Expand
Manifolds with 2-nonnegative Ricci operator
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, weExpand
Space-like isothermic surfaces and Grassmannian systems
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 simpleExpand
Spacelike Surfaces in L4 with null mean curvature vector and the nonlinear Riccati partial differential equation
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.
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 isothermicExpand
The Björling problem for timelike minimal surfaces in $${\mathbb {R}}^{4}_{1}$$R14
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 usingExpand
Minimal surfaces in the product of two dimensional real space forms endowed with a neutral metric
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 ${\mathbb S}^2_p\subset {\mathbb R}^{p,3-p}$ , andExpand
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