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- W2477309025 abstract "In this chapter we consider M, a smooth manifold of dimension n. How does one develop projective differential geometry on M? If M is a PGL(n + 1,ℝ)- homogeneous space, locally diffeomorphic to ℝℙn, then the situation is clear, but the supply of such manifolds is very limited. Informally speaking, a projective structure on M is a local identification of M with ℝℙn (without the requirement that the group PGL(n + 1, ℝ) acts on M). Projective structure is an example of the classic notion of a G-structure widely discussed in the literature. Our aim is to study specific properties of projective structures; see [121, 220] for a more general theory of G-structures." @default.
- W2477309025 created "2016-08-23" @default.
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- W2477309025 date "2004-12-13" @default.
- W2477309025 modified "2023-10-16" @default.
- W2477309025 title "Projective structures on smooth manifolds" @default.
- W2477309025 doi "https://doi.org/10.1017/cbo9780511543142.007" @default.
- W2477309025 hasPublicationYear "2004" @default.
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