function [ curvature ] = UkHomotopyLeader( k, n, coords, lambda)
%UNTITLED2 Summary of this function goes here
%   Detailed explanation goes here
     curvature = 0;
    for i = 1:n
       if i == k
       else
           curvature = curvature + Ujk(i, k, coords)*(1-lambda) + ...
               S(k)*lambda/(n-1);
       end
    end

end