#### Metrical conception of the space-time geometry

#### Yuri A. Rylov

*Institute for Problems in Mechanics, Russian Academy of Sciences*

* 101-1 ,Vernadskii Ave., Moscow, 119526, Russia*

* email: rylov@ipmnet.ru*

Web site: http://rsfq1.physics.sunysb.edu/~rylov/yrylov.htm

or mirror Web site: http://gasdyn-ipm.ipmnet.ru/~rylov/yrylov.htm

Updated April 7, 2014

#### abstract

Primordially a geometry was
a science on properties of geometrical objects and their mutual disposition. A
use of the proper Euclidean geometry generated the axiomatic conception of
geometry, where the geometry is considered as a logical construction. There is
the metrical conception of a geometry, where the geometry is considered as a
science on properties of geometric objects. In the framework of metrical
conception the space-time geometries form a more powerful set of geometries,
than those do in the framework of the axiomatic conception. It is important at
the construction of the general relativity.

There is text of the paper in English pdf ps and in Russian pdf ps