Abstract
In this paper we will show that a Möbius structure or a conformal structure of a manifold induces a projective structure of a regular curve on the manifold, and that for a regular curve on the sphere, the curve has no self-intersection if the projective developing map of the curve is injective.
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References
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© 2007 Birkhäuser Boston
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Kobayashi, O. (2007). Projective Structures of a Curve in a Conformal Space. In: Maeda, Y., Ochiai, T., Michor, P., Yoshioka, A. (eds) From Geometry to Quantum Mechanics. Progress in Mathematics, vol 252. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4530-4_3
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DOI: https://doi.org/10.1007/978-0-8176-4530-4_3
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4512-0
Online ISBN: 978-0-8176-4530-4
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