Geometry on the lines of polar spine spaces

Abstract

Abstract The concept of spine geometry over a polar Grassmann space is introduced. We determine conditions under which the structure of lines together with a binary coplanarity relation is a sufficient system of primitive notions for polar spine spaces. These assumptions also allow to characterize polar spine spaces in terms of the binary relation of being in one pencil of lines.

Locations

• Aequationes Mathematicae - View - PDF