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The Real Projective Plane

J.C. Álvarez Paiva

In this chapter we study the geometry of $ n$-dimensional projective space with special emphasis on the projective plane. We change somewhat our point of view and study the projective plane not only as a homogeneous space under an action of $ PGL(3,{\Bbb R})$, but also as a space with a family of distinguished subspaces (the projective lines) that satisfy a number of incidence relations.


Juan Carlos Alvarez 2001-01-22