Abstract
Consider a Euclidean vector space E of dimension d + 1, and the associated projective space P = P(E) with canonical projection p: E \ 0 → P. Recall that P is the set of (vector) lines of E, hence the quotient of the unit sphere S(E) = {x ∈ E: || x || = 1} by the equivalence relation x ~ − x (antipodal points).
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© 1984 Marcel Berger
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Berger, M., Pansu, P., Berry, JP., Saint-Raymond, X. (1984). Elliptic and Hyperbolic Geometry. In: Problems in Geometry. Problem Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1836-2_19
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DOI: https://doi.org/10.1007/978-1-4757-1836-2_19
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2822-1
Online ISBN: 978-1-4757-1836-2
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