Conformal geometry vs. projective geometry

[Lapidus]

How are those two geometries realeted?

Conformal geometry is a metric geometry. Projective geometry is not. But the stereographic projection is related to the conformal geometry.

Or does someone know a book/ notes where the individual geometries (affine, projective, euclidean, hyperbolic, conformal) are listed and the relationships among them is (neatly and well) explained?

 

[robphy]

Look at the books by Schouten [dense reading]

https://www.amazon.com/dp/364205692X/?tag=pfamazon01-20
https://books.google.com/books?id=rf_uCAAAQBAJ
http://www.worldcat.org/title/ricci...-and-its-geometrical-applications/oclc/530039
https://projecteuclid.org/euclid.bams/1183519893 (review)

https://www.amazon.com/dp/0486655822/?tag=pfamazon01-20
https://books.google.com/books?id=hsPv6vix8eAC&printsec=frontcover&dq=editions:ISBN0486655822

This book by Bill Burke might be enlightening
https://books.google.com/books/about/Applied_Differential_Geometry.html?id=58SFj9x5RMEC