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