I would like to study projective geometry as a Klein's geometry.
I think that "Notes on Geometry" by Rees is a good one but I need more details.
What is the best book to start with?
I would like to study projective geometry as a Klein's geometry.
I think that "Notes on Geometry" by Rees is a good one but I need more details.
What is the best book to start with?
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A useful book directly related to this topic is Differential Geometry: Cartan's Generalization of Klein's Erlangen Program, by R.W.Sharpe.
Here is a link to a relevant paper about two papers by Felix Klein on Non-Euclidean geometry, projective geometry, and related works:
https://arxiv.org/pdf/1406.7309.pdf
Additional helpful books:
Projective and Cayley-Klein Geometries, by by Arkadij L. Onishchik and Rolf Sulanke .
Perspectives on Projective Geometry: A Guided Tour Through Real and Complex Geometry, by Jürgen Richter-Gebert .