3 citations · 5 across the 6 of their papers we have counts for
6 papers
Natural volume forms on pseudo-Finslerian manifolds with -th root metrics
Anton V. Solov'yov
We define natural volume forms on -dimensional oriented pseudo-Finslerian manifolds with non-degenerate -th root metrics. Our definitions of the natural volume forms depend o…
Relational Analysis of Dirac Equation in Momentum Representation
Anton V. Solov'yov
In terms of the relational approach to space-time geometry and physical interactions, we show that the Dirac equation for a free fermion in the momentum representation can be obtai…
Finslerian 4-spinors as a generalization of twistors
A. V. Solov'yov
The main facts of the geometry of Finslerian 4-spinors are formulated. It is shown that twistors are a special case of Finslerian 4-spinors. The close connection between Finslerian…
General solution of equations of motion for a classical particle in 9-dimensional Finslerian space
Anton V. Solov'yov
A Lagrangian description of a classical particle in a 9-dimensional flat Finslerian space with a cubic metric function is constructed. The general solution of equations of motion f…
Finslerian N-spinors: Algebra
A. V. Solov'yov, Yu. S. Vladimirov
New mathematical objects called Finslerian N-spinors are discussed. The Finslerian N-spinor algebra is developed. It is found that Finslerian N-spinors are associated with an N^2-d…
Finslerian N-spinor algebra
A. V. Solov'yov
New mathematical objects called Finslerian N-spinors are discussed. The Finslerian N-spinor algebra is developed. It is found that Finslerian N-spinors are associated with an N^2-d…