4 citations · 12 across the 51 of their papers we have counts for
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Exponential stretching in filaments as fast dynamos in Euclidean and Riemannian 3D spaces
Garcia de Andrade
A new antidynamo theorem for non-stretched twisted magnetic flux tube dynamo is obtained. Though Riemannian curvature cannot be neglected since one considers curved magnetic flux t…
Stretching Riemannian spherical solar dynamo model from differentia rotation
Garcia de Andrade
Stretching solar dynamos from differential rotation in a Riemannian manifold setting is presented. The spherical model follows closely a twisted magnetic flux tube Riemannian geome…
Riemannian and filamentary geometries..
Garcia de Andrade
Riemannian and filamentary geometries are used to investigate the stretched filamentary dynamos against solar data in solar corona.
Testing a Riemannian twisted solar loop model from EUV data and magnetic topology
Garcia de Andrade
Compact Riemannian solar twisted magnetic flux tube surfaces model are tested against solar extreme ultraviolet (EUV) lines observations, allowing us to compute the diameter and he…
Turbulent -effect in twisted magnetic flux tubes dynamos in Riemannian space
Garcia de Andrade
Analytical solution of first order torsion -effect in twisted magnetic flux tubes representing a flux tube dynamo in Riemannian space is presented. Toroidal and poloidal compone…
Helical -dynamos as twisted magnetic flux tubes in Riemannian space
Garcia de Andrade
Analytical solution of -dynamo equation representing strongly torsioned helical dynamo is obtained in the thin twisted Riemannian flux tubes approximation. The factor posses…
Lagrangean stability of slow dynamos in compact 3D Riemannian manifolds
Garcia de Andrade
Modifications on a recently introduced fast dynamo operator by Chiconne et al [Comm Math Phys 173, 379 (1995)] in compact 3D Riemannian manifolds allows us to shown that slow dynam…
Chaotic flows and cosmic dynamos in anisotropic pseudo-Riemannian four-dimensional spacetime
Garcia de Andrade
It is shown that the existence of the cosmic kinematic fast dynamos in Bianchi type IX rotating cosmological models, faces severe difficulties, due to the fact that in these models…
Differential rotation of stretched and twisted thick magnetic flux tube dynamos in Riemannian spaces
Garcia de Andrade
The topological mapping between a torus of big radius and a sphere is applied to the Riemannian geometry of a stretched and twisted very thick magnetic flux tube, to obtain spheric…
Riemannian isometries of twisted magnetic flux tubes and stable current-carrying solar loops
Garcia de Andrade
Two examples of the use of differential geometry in plasma physics are given: The first is the computation and solution of the constraint equations obtained from the Riemann metric…
Riemannian geometrical constraints on magnetic vortex filaments in plasmas
L. C. Garcia de Andrade
Two theorems on the Riemannian geometrical constraints on vortex magnetic filaments acting as dynamos in (MHD) flows are presented. The use of Gauss-Mainard-Codazzi equations allow…