Restricted linear properties of scalar product in T-geometry

Yuri A.Rylov

Institute for Problems in Mechanics, Russian Academy of Sciences,
101, bild.1 Vernadskii Ave., Moscow, 119526, Russia.

October 18, 2002


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. Linear properties of scalar product are restricted. Domain of linearity increases in homogeneous geometry.

(There is the  text of the paper in English and in Russian in the form of a postscript file)