  In this work we study if the norms rotund, uniformly rotund, weakly uniformly
rotund, locally uniformly rotund or weakly locally uniformly rotund interpolate
in the complex or the real interpolation spaces. We will see that the
properties uniformly rotund and weakly uniformly rotund interpolate, but the
properties locally uniformly rotund or weakly locally uniformly rotund do not
interpolate in general except for the dual interpolation couple.
