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Restricted linear properties of scalar product in T-geometry

Yuri A. Rylov
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Abstract

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

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Yuri A. Rylov. 2002-10-19. Restricted linear properties of scalar product in T-geometry. https://arxiv.org/abs/math/0210285

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