It is shown that, among all smooth curves of length not exceeding a prescribed upper bound which interpolate a finite set of planar points, there is at least one which minimizes the curvature in the ...
AbstractWe consider an algebraic representation formula for meromorphic curves in ℂ³ with preset infinitesimal arc length, i. e., a di erential operator M assigning to triples (𝑓, ℎ, 𝑑) of ...