18 citations · 128 across the 21 of their papers we have counts for
4 papers · 1 filter
New crisis in geometry?
Yuri A. Rylov
The first crisis in the geometry arose in the beginning of XIXth century, when the mathematicians rejected the non-Euclidean geometry as a possible geometry of the real world. Now…
Deformation principle as a foundation of physical geometry
Yuri A. Rylov
Physical geometry studies mutual disposition of geometrical objects and points in space, or space-time, which is described by the distance function , or by the world function $…
Restricted linear properties of scalar product in T-geometry
Yuri A. Rylov
It is shown that scalar product of two vectors can be introduced in any geometry (metric space) independently of possibility of the linear space introduction. In general, linear pr…
Deformation principle and problem of parallelism in geometry and physics
Yuri A. Rylov
The deformation principle admits one to obtain a very broad class of nonuniform geometries as a result of deformation of the proper Euclidean geometry. The Riemannian geometry is a…