2007/08/14 by Garcia de Andrade, de Andrade, Garcia
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geometric Analysis and Curvature Flows #Nonlinear Waves and Solitons #Plasma Physics (physics.plasm-ph) #physics.flu-dyn #physics.plasm-ph
paper · pdf · doi:10.48550/arxiv.0708.1860
DFT-IF-UERJ-Brasil
arxiv created 2007/08/14 · openalex publication_date 2007/08/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Assuming the stability of soliton surfaces of vanishing Ricci sectional curvature of soliton metric in the nonholonomic frame, we find a solution for the metric in the approximation of weak constant torsion curves with constant Frenet curvature. The computation of the Riemann tensor of the soliton metric shows that it does not vanish and therefore the solution is nontrivial. Heisenberg solitonic equation is also used to constrain the the soliton Riemann metric. The new feature here is that the coordinate curves on the soliton-like surface are composed of hydrodynamical filaments.