Cartan's Corner 
The pdf file "ParticlesWavesSH.pdf" studies ....versus.... The Particle, T0, topologies and the WaveDiffusion, NotT0, topologies are applicable to the study of nonequilibrium thermodynamic systems and processes
The pdf file "NavierStokes2012.pdf" demonstrates how to obtain analytic solutions to the NavierStokes equations which are of Pfaff Topological dimension (class)4. Such flows of Pfaff Topological Dimension 4, describe continuous topological evolution, and are thermodynamically irreversible and dissipative. Hence such solutions can be used to describe the details of hydrodynamic Turbulence.
For best results, maximize the pdf files with free Adobe Reader: "View, Full Screen Mode"

Topological Torsion Picture Catalogue  . 
Links^{2}Go award for (Differential) Geometry 