A Plücker equation for curves in real projective space

J. R. Quine · Proceedings of the American Mathematical Society · 1982

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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