Particles in Riemannian space, discrete symmetries, the group theory, spinor structures, monopole, quantum mechanics and geometry, particles of high spin, non-relativistic approximation, WKB-approximation.
Main publications:
Red'kov V. M. The structure of singularities and gauge principle. Nonlinear Phenomena in Complex Systems. 2002, Vol. 5, P. 95–107.
Red'kov V. M. On WKB-quantization in Lobachevski and Riemann 3-spaces / Nonlinear phenomena in complex systems. 2003, Vol. 6, P. 654–668.
Red'kov V. M., Tokarevskaya N. G., Kisel V. V. Graviton in a curved space-time background and gauge symmetry. Nonlinear phenomena in complex systems. 2003. Vol. 6, P. 772–778.
Red'kov V. M. Geometry of 3-spaces with spinor structure. Nonlinear Phenomena in Complex Systems. 2004, Vol. 7, P. 106–128.