Finsler geometry in terms of world function

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://gas-dyn.ipmnet.ru/~rylov/yrylov.htm

Updated January, 21, 2013

abstract

It is shown that the space-time geometry should be formulated in terms of the world function, because only description in terms of world function admits one to recognize similar geometrical objects in regions of the space-time geometry with different geometries. The Berwald-Moor geometry formulated in terms of the world function appears to be multivariant geometry, which hardly can be used as a space-time geometry, because in this geometry the world lines wobbling of free particles differs from the real wobbling.

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