26 citations · 78 across the 23 of their papers we have counts for
23 papers
Finsleroids with three axes in dimension
G. S. Asanov
The Conclusive Theorem has been established to determine the dependence of the three-axes positive-definite Finsleroid metric functions on the Finsleroid azimuthal angle in…
Two-axes pseudo-Finsleroid metrics: general overview and angle-regular solution
G. S. Asanov
The class of the two-axes pseudo-Finslerian metrics which is specified by the condition of the angle-separation in the involved characteristic functions is proposed and studied. Th…
Pseudo-Finsleroid metric function of spatially anisotropic relativistic type
G. S. Asanov
The paper contributes to the important and urgent problem to extend the physical theory of space-time in a Finsler-type way under the assumption that the isotropy of space is viola…
Finsler connection preserving the two-vector angle under the indicatrix-inhomogeneous treatment
G. S. Asanov
The Finsler spaces in which the tangent Riemannian spaces are conformally flat prove to be characterized by the condition that the indicatrix is a space of constant curvature. In s…
Finsler connection preserving angle in dimensions
G. S. Asanov
We show that if a Finsler space is conformally automorphic to a Riemannian space and the automorphism is positively homogeneous with respect to tangent vectors, then the indicatrix…
Finsleroid gives rise to the angle-preserving connection
G. S. Asanov
The Finslerian unit ball is called the {\it Finsleroid} if the covering indicatrix is a space of constant curvature. We prove that Finsler spaces with such indicatrices possess the…