Ribbon (mathematics)

In differential geometry, a ribbon (or strip) is the combination of a smooth space curve and its corresponding normal vector. More formally, a ribbon denoted by $(X,U)$ includes a curve $X$ given by a three-dimensional vector $X(s)$ , depending continuously on the curve arc-length $s$ ( $a\leq s\leq b$ ), and a unit vector $U(s)$ perpendicular to $X$ at each point.^[1] Ribbons have seen particular application as regards DNA.^[2]

^ Blaschke, W. (1950) Einführung in die Differentialgeometrie. Springer-Verlag. ISBN 9783817115495
^ Vologodskiǐ, Aleksandr Vadimovich (1992). Topology and Physics of Circular DNA (First ed.). Boca Raton, FL. p. 49. ISBN 978-1138105058. OCLC 1014356603.{{cite book}}: CS1 maint: location missing publisher (link)

[1] Blaschke, W. (1950) Einführung in die Differentialgeometrie. Springer-Verlag. ISBN 9783817115495

[2] Vologodskiǐ, Aleksandr Vadimovich (1992). Topology and Physics of Circular DNA (First ed.). Boca Raton, FL. p. 49. ISBN 978-1138105058. OCLC 1014356603.{{cite book}}: CS1 maint: location missing publisher (link)

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