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Proceedings of the American Mathematical Society

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A Plücker equation for curves in real projective space


Author: J. R. Quine
Journal: Proc. Amer. Math. Soc. 85 (1982), 103-107
MSC: Primary 14H20; Secondary 14G30, 57R99
MathSciNet review: 647908
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Abstract: For smooth closed curves in real projective space we write an equation relating the Plücker characteristics, various winding numbers, and a new characteristic involving pairs of points on the line at infinity. This theorem is a generalization of the Umlaufsatz and also relates directly to Plücker's equations for algebraic curves.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0647908-9
Article copyright: © Copyright 1982 American Mathematical Society